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Simplifying -2(4y + -2) + -1y = -4(y + -5) Reorder the terms: -2(-2 + 4y) + -1y = -4(y + -5) (-2 * -2 + 4y * -2) + -1y = -4(y + -5) (4 + -8y) + -1y = -4(y + -5) Combine like terms: -8y + -1y = -9y 4 + -9y = -4(y + -5) Reorder the terms: 4 + -9y = -4(-5 + y) 4 + -9y = (-5 * -4 + y * -4) 4 + -9y = (20 + -4y) Solving 4 + -9y = 20 + -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. 4 + -9y + 4y = 20 + -4y + 4y Combine like terms: -9y + 4y = -5y 4 + -5y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + -5y = 20 + 0 4 + -5y = 20 Add '-4' to each side of the equation. 4 + -4 + -5y = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 20 + -4 -5y = 20 + -4 Combine like terms: 20 + -4 = 16 -5y = 16 Divide each side by '-5'. y = -3.2 Simplifying y = -3.2
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