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