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Simplifying -8(y + -10) + -15 = -2y + -1(y + -5) Reorder the terms: -8(-10 + y) + -15 = -2y + -1(y + -5) (-10 * -8 + y * -8) + -15 = -2y + -1(y + -5) (80 + -8y) + -15 = -2y + -1(y + -5) Reorder the terms: 80 + -15 + -8y = -2y + -1(y + -5) Combine like terms: 80 + -15 = 65 65 + -8y = -2y + -1(y + -5) Reorder the terms: 65 + -8y = -2y + -1(-5 + y) 65 + -8y = -2y + (-5 * -1 + y * -1) 65 + -8y = -2y + (5 + -1y) Reorder the terms: 65 + -8y = 5 + -2y + -1y Combine like terms: -2y + -1y = -3y 65 + -8y = 5 + -3y Solving 65 + -8y = 5 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 65 + -8y + 3y = 5 + -3y + 3y Combine like terms: -8y + 3y = -5y 65 + -5y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 65 + -5y = 5 + 0 65 + -5y = 5 Add '-65' to each side of the equation. 65 + -65 + -5y = 5 + -65 Combine like terms: 65 + -65 = 0 0 + -5y = 5 + -65 -5y = 5 + -65 Combine like terms: 5 + -65 = -60 -5y = -60 Divide each side by '-5'. y = 12 Simplifying y = 12
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