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Simplifying -3y + -7(-9y + -3) = 8 + 2(3 + -1y) Reorder the terms: -3y + -7(-3 + -9y) = 8 + 2(3 + -1y) -3y + (-3 * -7 + -9y * -7) = 8 + 2(3 + -1y) -3y + (21 + 63y) = 8 + 2(3 + -1y) Reorder the terms: 21 + -3y + 63y = 8 + 2(3 + -1y) Combine like terms: -3y + 63y = 60y 21 + 60y = 8 + 2(3 + -1y) 21 + 60y = 8 + (3 * 2 + -1y * 2) 21 + 60y = 8 + (6 + -2y) Combine like terms: 8 + 6 = 14 21 + 60y = 14 + -2y Solving 21 + 60y = 14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 21 + 60y + 2y = 14 + -2y + 2y Combine like terms: 60y + 2y = 62y 21 + 62y = 14 + -2y + 2y Combine like terms: -2y + 2y = 0 21 + 62y = 14 + 0 21 + 62y = 14 Add '-21' to each side of the equation. 21 + -21 + 62y = 14 + -21 Combine like terms: 21 + -21 = 0 0 + 62y = 14 + -21 62y = 14 + -21 Combine like terms: 14 + -21 = -7 62y = -7 Divide each side by '62'. y = -0.1129032258 Simplifying y = -0.1129032258
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