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Simplifying -4(2y + -8) + -1y = -4(y + -5) Reorder the terms: -4(-8 + 2y) + -1y = -4(y + -5) (-8 * -4 + 2y * -4) + -1y = -4(y + -5) (32 + -8y) + -1y = -4(y + -5) Combine like terms: -8y + -1y = -9y 32 + -9y = -4(y + -5) Reorder the terms: 32 + -9y = -4(-5 + y) 32 + -9y = (-5 * -4 + y * -4) 32 + -9y = (20 + -4y) Solving 32 + -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. 32 + -9y + 4y = 20 + -4y + 4y Combine like terms: -9y + 4y = -5y 32 + -5y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 32 + -5y = 20 + 0 32 + -5y = 20 Add '-32' to each side of the equation. 32 + -32 + -5y = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -5y = 20 + -32 -5y = 20 + -32 Combine like terms: 20 + -32 = -12 -5y = -12 Divide each side by '-5'. y = 2.4 Simplifying y = 2.4
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