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Simplifying -2(4y + -9) + -1y = -2(y + -2) Reorder the terms: -2(-9 + 4y) + -1y = -2(y + -2) (-9 * -2 + 4y * -2) + -1y = -2(y + -2) (18 + -8y) + -1y = -2(y + -2) Combine like terms: -8y + -1y = -9y 18 + -9y = -2(y + -2) Reorder the terms: 18 + -9y = -2(-2 + y) 18 + -9y = (-2 * -2 + y * -2) 18 + -9y = (4 + -2y) Solving 18 + -9y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 18 + -9y + 2y = 4 + -2y + 2y Combine like terms: -9y + 2y = -7y 18 + -7y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 18 + -7y = 4 + 0 18 + -7y = 4 Add '-18' to each side of the equation. 18 + -18 + -7y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -7y = 4 + -18 -7y = 4 + -18 Combine like terms: 4 + -18 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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