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Simplifying -4(2y + -7) + -1y = -2(y + -4) Reorder the terms: -4(-7 + 2y) + -1y = -2(y + -4) (-7 * -4 + 2y * -4) + -1y = -2(y + -4) (28 + -8y) + -1y = -2(y + -4) Combine like terms: -8y + -1y = -9y 28 + -9y = -2(y + -4) Reorder the terms: 28 + -9y = -2(-4 + y) 28 + -9y = (-4 * -2 + y * -2) 28 + -9y = (8 + -2y) Solving 28 + -9y = 8 + -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. 28 + -9y + 2y = 8 + -2y + 2y Combine like terms: -9y + 2y = -7y 28 + -7y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 28 + -7y = 8 + 0 28 + -7y = 8 Add '-28' to each side of the equation. 28 + -28 + -7y = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -7y = 8 + -28 -7y = 8 + -28 Combine like terms: 8 + -28 = -20 -7y = -20 Divide each side by '-7'. y = 2.857142857 Simplifying y = 2.857142857
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