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Simplifying -4(7y + -15) = -19y + -17 + 12y Reorder the terms: -4(-15 + 7y) = -19y + -17 + 12y (-15 * -4 + 7y * -4) = -19y + -17 + 12y (60 + -28y) = -19y + -17 + 12y Reorder the terms: 60 + -28y = -17 + -19y + 12y Combine like terms: -19y + 12y = -7y 60 + -28y = -17 + -7y Solving 60 + -28y = -17 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 60 + -28y + 7y = -17 + -7y + 7y Combine like terms: -28y + 7y = -21y 60 + -21y = -17 + -7y + 7y Combine like terms: -7y + 7y = 0 60 + -21y = -17 + 0 60 + -21y = -17 Add '-60' to each side of the equation. 60 + -60 + -21y = -17 + -60 Combine like terms: 60 + -60 = 0 0 + -21y = -17 + -60 -21y = -17 + -60 Combine like terms: -17 + -60 = -77 -21y = -77 Divide each side by '-21'. y = 3.666666667 Simplifying y = 3.666666667
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