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Simplifying 4 + -1(3y + 7) + 8 = 2y + 3(8 + -1y) Reorder the terms: 4 + -1(7 + 3y) + 8 = 2y + 3(8 + -1y) 4 + (7 * -1 + 3y * -1) + 8 = 2y + 3(8 + -1y) 4 + (-7 + -3y) + 8 = 2y + 3(8 + -1y) Reorder the terms: 4 + -7 + 8 + -3y = 2y + 3(8 + -1y) Combine like terms: 4 + -7 = -3 -3 + 8 + -3y = 2y + 3(8 + -1y) Combine like terms: -3 + 8 = 5 5 + -3y = 2y + 3(8 + -1y) 5 + -3y = 2y + (8 * 3 + -1y * 3) 5 + -3y = 2y + (24 + -3y) Reorder the terms: 5 + -3y = 24 + 2y + -3y Combine like terms: 2y + -3y = -1y 5 + -3y = 24 + -1y Solving 5 + -3y = 24 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 5 + -3y + y = 24 + -1y + y Combine like terms: -3y + y = -2y 5 + -2y = 24 + -1y + y Combine like terms: -1y + y = 0 5 + -2y = 24 + 0 5 + -2y = 24 Add '-5' to each side of the equation. 5 + -5 + -2y = 24 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 24 + -5 -2y = 24 + -5 Combine like terms: 24 + -5 = 19 -2y = 19 Divide each side by '-2'. y = -9.5 Simplifying y = -9.5
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