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Simplifying -4(2y + -3) + -1y = -2(y + -4) Reorder the terms: -4(-3 + 2y) + -1y = -2(y + -4) (-3 * -4 + 2y * -4) + -1y = -2(y + -4) (12 + -8y) + -1y = -2(y + -4) Combine like terms: -8y + -1y = -9y 12 + -9y = -2(y + -4) Reorder the terms: 12 + -9y = -2(-4 + y) 12 + -9y = (-4 * -2 + y * -2) 12 + -9y = (8 + -2y) Solving 12 + -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. 12 + -9y + 2y = 8 + -2y + 2y Combine like terms: -9y + 2y = -7y 12 + -7y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -7y = 8 + 0 12 + -7y = 8 Add '-12' to each side of the equation. 12 + -12 + -7y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -7y = 8 + -12 -7y = 8 + -12 Combine like terms: 8 + -12 = -4 -7y = -4 Divide each side by '-7'. y = 0.5714285714 Simplifying y = 0.5714285714
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