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Simplifying -2(4y + -6) + 17 = 24 + -7y + 8(2y + 7) Reorder the terms: -2(-6 + 4y) + 17 = 24 + -7y + 8(2y + 7) (-6 * -2 + 4y * -2) + 17 = 24 + -7y + 8(2y + 7) (12 + -8y) + 17 = 24 + -7y + 8(2y + 7) Reorder the terms: 12 + 17 + -8y = 24 + -7y + 8(2y + 7) Combine like terms: 12 + 17 = 29 29 + -8y = 24 + -7y + 8(2y + 7) Reorder the terms: 29 + -8y = 24 + -7y + 8(7 + 2y) 29 + -8y = 24 + -7y + (7 * 8 + 2y * 8) 29 + -8y = 24 + -7y + (56 + 16y) Reorder the terms: 29 + -8y = 24 + 56 + -7y + 16y Combine like terms: 24 + 56 = 80 29 + -8y = 80 + -7y + 16y Combine like terms: -7y + 16y = 9y 29 + -8y = 80 + 9y Solving 29 + -8y = 80 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 29 + -8y + -9y = 80 + 9y + -9y Combine like terms: -8y + -9y = -17y 29 + -17y = 80 + 9y + -9y Combine like terms: 9y + -9y = 0 29 + -17y = 80 + 0 29 + -17y = 80 Add '-29' to each side of the equation. 29 + -29 + -17y = 80 + -29 Combine like terms: 29 + -29 = 0 0 + -17y = 80 + -29 -17y = 80 + -29 Combine like terms: 80 + -29 = 51 -17y = 51 Divide each side by '-17'. y = -3 Simplifying y = -3
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