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Simplifying -2(2y + -4) + -1y = -4(y + -3) Reorder the terms: -2(-4 + 2y) + -1y = -4(y + -3) (-4 * -2 + 2y * -2) + -1y = -4(y + -3) (8 + -4y) + -1y = -4(y + -3) Combine like terms: -4y + -1y = -5y 8 + -5y = -4(y + -3) Reorder the terms: 8 + -5y = -4(-3 + y) 8 + -5y = (-3 * -4 + y * -4) 8 + -5y = (12 + -4y) Solving 8 + -5y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 8 + -5y + 4y = 12 + -4y + 4y Combine like terms: -5y + 4y = -1y 8 + -1y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + -1y = 12 + 0 8 + -1y = 12 Add '-8' to each side of the equation. 8 + -8 + -1y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 12 + -8 -1y = 12 + -8 Combine like terms: 12 + -8 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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