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Simplifying -3y + 2(-4y + 5) = -1 + 8(2 + -1y) Reorder the terms: -3y + 2(5 + -4y) = -1 + 8(2 + -1y) -3y + (5 * 2 + -4y * 2) = -1 + 8(2 + -1y) -3y + (10 + -8y) = -1 + 8(2 + -1y) Reorder the terms: 10 + -3y + -8y = -1 + 8(2 + -1y) Combine like terms: -3y + -8y = -11y 10 + -11y = -1 + 8(2 + -1y) 10 + -11y = -1 + (2 * 8 + -1y * 8) 10 + -11y = -1 + (16 + -8y) Combine like terms: -1 + 16 = 15 10 + -11y = 15 + -8y Solving 10 + -11y = 15 + -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. 10 + -11y + 8y = 15 + -8y + 8y Combine like terms: -11y + 8y = -3y 10 + -3y = 15 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + -3y = 15 + 0 10 + -3y = 15 Add '-10' to each side of the equation. 10 + -10 + -3y = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 15 + -10 -3y = 15 + -10 Combine like terms: 15 + -10 = 5 -3y = 5 Divide each side by '-3'. y = -1.666666667 Simplifying y = -1.666666667
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