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Simplifying -5(2y + -4) + -1y = -2(y + -5) Reorder the terms: -5(-4 + 2y) + -1y = -2(y + -5) (-4 * -5 + 2y * -5) + -1y = -2(y + -5) (20 + -10y) + -1y = -2(y + -5) Combine like terms: -10y + -1y = -11y 20 + -11y = -2(y + -5) Reorder the terms: 20 + -11y = -2(-5 + y) 20 + -11y = (-5 * -2 + y * -2) 20 + -11y = (10 + -2y) Solving 20 + -11y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 20 + -11y + 2y = 10 + -2y + 2y Combine like terms: -11y + 2y = -9y 20 + -9y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + -9y = 10 + 0 20 + -9y = 10 Add '-20' to each side of the equation. 20 + -20 + -9y = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -9y = 10 + -20 -9y = 10 + -20 Combine like terms: 10 + -20 = -10 -9y = -10 Divide each side by '-9'. y = 1.111111111 Simplifying y = 1.111111111
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