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Simplifying -2y + -1(3y + -9) = 7 + 9(-3 + -1y) Reorder the terms: -2y + -1(-9 + 3y) = 7 + 9(-3 + -1y) -2y + (-9 * -1 + 3y * -1) = 7 + 9(-3 + -1y) -2y + (9 + -3y) = 7 + 9(-3 + -1y) Reorder the terms: 9 + -2y + -3y = 7 + 9(-3 + -1y) Combine like terms: -2y + -3y = -5y 9 + -5y = 7 + 9(-3 + -1y) 9 + -5y = 7 + (-3 * 9 + -1y * 9) 9 + -5y = 7 + (-27 + -9y) Combine like terms: 7 + -27 = -20 9 + -5y = -20 + -9y Solving 9 + -5y = -20 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 9 + -5y + 9y = -20 + -9y + 9y Combine like terms: -5y + 9y = 4y 9 + 4y = -20 + -9y + 9y Combine like terms: -9y + 9y = 0 9 + 4y = -20 + 0 9 + 4y = -20 Add '-9' to each side of the equation. 9 + -9 + 4y = -20 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = -20 + -9 4y = -20 + -9 Combine like terms: -20 + -9 = -29 4y = -29 Divide each side by '4'. y = -7.25 Simplifying y = -7.25
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