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Simplifying -4(2y + -9) + -1y = -2(y + -2) Reorder the terms: -4(-9 + 2y) + -1y = -2(y + -2) (-9 * -4 + 2y * -4) + -1y = -2(y + -2) (36 + -8y) + -1y = -2(y + -2) Combine like terms: -8y + -1y = -9y 36 + -9y = -2(y + -2) Reorder the terms: 36 + -9y = -2(-2 + y) 36 + -9y = (-2 * -2 + y * -2) 36 + -9y = (4 + -2y) Solving 36 + -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. 36 + -9y + 2y = 4 + -2y + 2y Combine like terms: -9y + 2y = -7y 36 + -7y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 36 + -7y = 4 + 0 36 + -7y = 4 Add '-36' to each side of the equation. 36 + -36 + -7y = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -7y = 4 + -36 -7y = 4 + -36 Combine like terms: 4 + -36 = -32 -7y = -32 Divide each side by '-7'. y = 4.571428571 Simplifying y = 4.571428571
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