Pregunta
efor \( y \) \( 6 y+2=9 y+14 \) lify your answer as
Ask by Joseph Horton. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( y = -4 \)
Solución
Solve the equation \( 6y+2=9y+14 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(6y+2=9y+14\)
- step1: Move the expression to the left side:
\(6y-9y=14-2\)
- step2: Add and subtract:
\(-3y=14-2\)
- step3: Add and subtract:
\(-3y=12\)
- step4: Change the signs:
\(3y=-12\)
- step5: Divide both sides:
\(\frac{3y}{3}=\frac{-12}{3}\)
- step6: Divide the numbers:
\(y=-4\)
The solution to the equation \(6y+2=9y+14\) is \(y=-4\).
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Simplifique esta solución Mind Expander
To solve the equation \( 6y + 2 = 9y + 14 \), first, subtract \( 6y \) from both sides to get \( 2 = 3y + 14 \). Then, subtract \( 14 \) from both sides: \( 2 - 14 = 3y \), which simplifies to \( -12 = 3y \). Finally, divide both sides by \( 3 \) to isolate \( y \): \( y = -4 \). So your final answer, simplified, is \( y = -4 \). Now, if you need to check your work, just plug \( -4 \) back into the original equation: \( 6(-4) + 2 = 9(-4) + 14 \). Simplifying both sides shows \( -24 + 2 = -36 + 14 \), which gives \( -22 = -22\). Perfect! Your solution is validated; it's always good to double-check!
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