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Simplifying 1 + -1(y + -8) = 2(2y + -3) Reorder the terms: 1 + -1(-8 + y) = 2(2y + -3) 1 + (-8 * -1 + y * -1) = 2(2y + -3) 1 + (8 + -1y) = 2(2y + -3) Combine like terms: 1 + 8 = 9 9 + -1y = 2(2y + -3) Reorder the terms: 9 + -1y = 2(-3 + 2y) 9 + -1y = (-3 * 2 + 2y * 2) 9 + -1y = (-6 + 4y) Solving 9 + -1y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 9 + -1y + -4y = -6 + 4y + -4y Combine like terms: -1y + -4y = -5y 9 + -5y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 9 + -5y = -6 + 0 9 + -5y = -6 Add '-9' to each side of the equation. 9 + -9 + -5y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = -6 + -9 -5y = -6 + -9 Combine like terms: -6 + -9 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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