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Simplifying -4(2y + -8) + -1y = -2(y + -3) Reorder the terms: -4(-8 + 2y) + -1y = -2(y + -3) (-8 * -4 + 2y * -4) + -1y = -2(y + -3) (32 + -8y) + -1y = -2(y + -3) Combine like terms: -8y + -1y = -9y 32 + -9y = -2(y + -3) Reorder the terms: 32 + -9y = -2(-3 + y) 32 + -9y = (-3 * -2 + y * -2) 32 + -9y = (6 + -2y) Solving 32 + -9y = 6 + -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. 32 + -9y + 2y = 6 + -2y + 2y Combine like terms: -9y + 2y = -7y 32 + -7y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + -7y = 6 + 0 32 + -7y = 6 Add '-32' to each side of the equation. 32 + -32 + -7y = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -7y = 6 + -32 -7y = 6 + -32 Combine like terms: 6 + -32 = -26 -7y = -26 Divide each side by '-7'. y = 3.714285714 Simplifying y = 3.714285714
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