Evaluate the expression when \( x-5 \) and \( y=-4 \) \( -15+3 y-3 x-2 y+4 x \)
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To evaluate the expression \( -15 + 3y - 3x - 2y + 4x \) when \( x - 5 \) and \( y = -4 \), first, we need to find the value of \( x \). If \( x - 5 = 0 \), that gives us \( x = 5 \). Now we can substitute \( x = 5 \) and \( y = -4 \) into the expression: \[ -15 + 3(-4) - 3(5) - 2(-4) + 4(5) \] Calculating each term step-by-step: - \( 3(-4) = -12 \) - \( -3(5) = -15 \) - \( -2(-4) = 8 \) - \( 4(5) = 20 \) Now substituting these back into the expression: \[ -15 - 12 - 15 + 8 + 20 \] Combine these step-by-step: - Start with \( -15 - 12 = -27 \) - Now \( -27 - 15 = -42 \) - Then \( -42 + 8 = -34 \) - Finally, \( -34 + 20 = -14 \) So the evaluated expression is: \[ \boxed{-14} \]