How many solutions does the following equation have? \( 4(y-30)=4 y+12 \)
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Mind Expander
To solve the equation \( 4(y-30)=4y+12 \), let's simplify it step by step. First, distribute the 4 on the left side: \[ 4y - 120 = 4y + 12 \] Next, subtract \( 4y \) from both sides: \[ -120 = 12 \] This is a contradiction since -120 does not equal 12. Therefore, the equation has no solutions—it’s inconsistent! In essence, you have a scenario where two lines represented by this equation’s form would never intersect, meaning no values of \( y \) satisfy the equation.
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