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Simplifying 7y + -2(y + -4) = 9y + -1(5y + 13) Reorder the terms: 7y + -2(-4 + y) = 9y + -1(5y + 13) 7y + (-4 * -2 + y * -2) = 9y + -1(5y + 13) 7y + (8 + -2y) = 9y + -1(5y + 13) Reorder the terms: 8 + 7y + -2y = 9y + -1(5y + 13) Combine like terms: 7y + -2y = 5y 8 + 5y = 9y + -1(5y + 13) Reorder the terms: 8 + 5y = 9y + -1(13 + 5y) 8 + 5y = 9y + (13 * -1 + 5y * -1) 8 + 5y = 9y + (-13 + -5y) Reorder the terms: 8 + 5y = -13 + 9y + -5y Combine like terms: 9y + -5y = 4y 8 + 5y = -13 + 4y Solving 8 + 5y = -13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 5y + -4y = -13 + 4y + -4y Combine like terms: 5y + -4y = 1y 8 + 1y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 1y = -13 + 0 8 + 1y = -13 Add '-8' to each side of the equation. 8 + -8 + 1y = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = -13 + -8 1y = -13 + -8 Combine like terms: -13 + -8 = -21 1y = -21 Divide each side by '1'. y = -21 Simplifying y = -21
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