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Simplifying -3y + 13 = -8(y + -1) Reorder the terms: 13 + -3y = -8(y + -1) Reorder the terms: 13 + -3y = -8(-1 + y) 13 + -3y = (-1 * -8 + y * -8) 13 + -3y = (8 + -8y) Solving 13 + -3y = 8 + -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. 13 + -3y + 8y = 8 + -8y + 8y Combine like terms: -3y + 8y = 5y 13 + 5y = 8 + -8y + 8y Combine like terms: -8y + 8y = 0 13 + 5y = 8 + 0 13 + 5y = 8 Add '-13' to each side of the equation. 13 + -13 + 5y = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = 8 + -13 5y = 8 + -13 Combine like terms: 8 + -13 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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