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Simplifying -8(y + -5) + -10 = -2y + -1(y + -5) Reorder the terms: -8(-5 + y) + -10 = -2y + -1(y + -5) (-5 * -8 + y * -8) + -10 = -2y + -1(y + -5) (40 + -8y) + -10 = -2y + -1(y + -5) Reorder the terms: 40 + -10 + -8y = -2y + -1(y + -5) Combine like terms: 40 + -10 = 30 30 + -8y = -2y + -1(y + -5) Reorder the terms: 30 + -8y = -2y + -1(-5 + y) 30 + -8y = -2y + (-5 * -1 + y * -1) 30 + -8y = -2y + (5 + -1y) Reorder the terms: 30 + -8y = 5 + -2y + -1y Combine like terms: -2y + -1y = -3y 30 + -8y = 5 + -3y Solving 30 + -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. 30 + -8y + 3y = 5 + -3y + 3y Combine like terms: -8y + 3y = -5y 30 + -5y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + -5y = 5 + 0 30 + -5y = 5 Add '-30' to each side of the equation. 30 + -30 + -5y = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -5y = 5 + -30 -5y = 5 + -30 Combine like terms: 5 + -30 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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