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Simplifying 10[2y + 2] + -1y = 2[8y + -8] Reorder the terms: 10[2 + 2y] + -1y = 2[8y + -8] [2 * 10 + 2y * 10] + -1y = 2[8y + -8] [20 + 20y] + -1y = 2[8y + -8] Combine like terms: 20y + -1y = 19y 20 + 19y = 2[8y + -8] Reorder the terms: 20 + 19y = 2[-8 + 8y] 20 + 19y = [-8 * 2 + 8y * 2] 20 + 19y = [-16 + 16y] Solving 20 + 19y = -16 + 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. 20 + 19y + -16y = -16 + 16y + -16y Combine like terms: 19y + -16y = 3y 20 + 3y = -16 + 16y + -16y Combine like terms: 16y + -16y = 0 20 + 3y = -16 + 0 20 + 3y = -16 Add '-20' to each side of the equation. 20 + -20 + 3y = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 3y = -16 + -20 3y = -16 + -20 Combine like terms: -16 + -20 = -36 3y = -36 Divide each side by '3'. y = -12 Simplifying y = -12
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