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Simplifying -2(4y + -5) + -1y = -4(y + -2) Reorder the terms: -2(-5 + 4y) + -1y = -4(y + -2) (-5 * -2 + 4y * -2) + -1y = -4(y + -2) (10 + -8y) + -1y = -4(y + -2) Combine like terms: -8y + -1y = -9y 10 + -9y = -4(y + -2) Reorder the terms: 10 + -9y = -4(-2 + y) 10 + -9y = (-2 * -4 + y * -4) 10 + -9y = (8 + -4y) Solving 10 + -9y = 8 + -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. 10 + -9y + 4y = 8 + -4y + 4y Combine like terms: -9y + 4y = -5y 10 + -5y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -5y = 8 + 0 10 + -5y = 8 Add '-10' to each side of the equation. 10 + -10 + -5y = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -5y = 8 + -10 -5y = 8 + -10 Combine like terms: 8 + -10 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4
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