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Simplifying 6(-2y + -17) = -2(-4y + 15) + -12 Reorder the terms: 6(-17 + -2y) = -2(-4y + 15) + -12 (-17 * 6 + -2y * 6) = -2(-4y + 15) + -12 (-102 + -12y) = -2(-4y + 15) + -12 Reorder the terms: -102 + -12y = -2(15 + -4y) + -12 -102 + -12y = (15 * -2 + -4y * -2) + -12 -102 + -12y = (-30 + 8y) + -12 Reorder the terms: -102 + -12y = -30 + -12 + 8y Combine like terms: -30 + -12 = -42 -102 + -12y = -42 + 8y Solving -102 + -12y = -42 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -102 + -12y + -8y = -42 + 8y + -8y Combine like terms: -12y + -8y = -20y -102 + -20y = -42 + 8y + -8y Combine like terms: 8y + -8y = 0 -102 + -20y = -42 + 0 -102 + -20y = -42 Add '102' to each side of the equation. -102 + 102 + -20y = -42 + 102 Combine like terms: -102 + 102 = 0 0 + -20y = -42 + 102 -20y = -42 + 102 Combine like terms: -42 + 102 = 60 -20y = 60 Divide each side by '-20'. y = -3 Simplifying y = -3
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