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Simplifying 4(3y + 2) + -4y + 2 = 2[8(y + -1) + 15] Reorder the terms: 4(2 + 3y) + -4y + 2 = 2[8(y + -1) + 15] (2 * 4 + 3y * 4) + -4y + 2 = 2[8(y + -1) + 15] (8 + 12y) + -4y + 2 = 2[8(y + -1) + 15] Reorder the terms: 8 + 2 + 12y + -4y = 2[8(y + -1) + 15] Combine like terms: 8 + 2 = 10 10 + 12y + -4y = 2[8(y + -1) + 15] Combine like terms: 12y + -4y = 8y 10 + 8y = 2[8(y + -1) + 15] Reorder the terms: 10 + 8y = 2[8(-1 + y) + 15] 10 + 8y = 2[(-1 * 8 + y * 8) + 15] 10 + 8y = 2[(-8 + 8y) + 15] Reorder the terms: 10 + 8y = 2[-8 + 15 + 8y] Combine like terms: -8 + 15 = 7 10 + 8y = 2[7 + 8y] 10 + 8y = [7 * 2 + 8y * 2] 10 + 8y = [14 + 16y] Solving 10 + 8y = 14 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 10 + 8y + -16y = 14 + 16y + -16y Combine like terms: 8y + -16y = -8y 10 + -8y = 14 + 16y + -16y Combine like terms: 16y + -16y = 0 10 + -8y = 14 + 0 10 + -8y = 14 Add '-10' to each side of the equation. 10 + -10 + -8y = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = 14 + -10 -8y = 14 + -10 Combine like terms: 14 + -10 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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