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Simplifying -4(2y + -5) + -1y = -4(y + -4) Reorder the terms: -4(-5 + 2y) + -1y = -4(y + -4) (-5 * -4 + 2y * -4) + -1y = -4(y + -4) (20 + -8y) + -1y = -4(y + -4) Combine like terms: -8y + -1y = -9y 20 + -9y = -4(y + -4) Reorder the terms: 20 + -9y = -4(-4 + y) 20 + -9y = (-4 * -4 + y * -4) 20 + -9y = (16 + -4y) Solving 20 + -9y = 16 + -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. 20 + -9y + 4y = 16 + -4y + 4y Combine like terms: -9y + 4y = -5y 20 + -5y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 20 + -5y = 16 + 0 20 + -5y = 16 Add '-20' to each side of the equation. 20 + -20 + -5y = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -5y = 16 + -20 -5y = 16 + -20 Combine like terms: 16 + -20 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8
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