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Simplifying -5(2y + -9) + -1y = -2(y + -2) Reorder the terms: -5(-9 + 2y) + -1y = -2(y + -2) (-9 * -5 + 2y * -5) + -1y = -2(y + -2) (45 + -10y) + -1y = -2(y + -2) Combine like terms: -10y + -1y = -11y 45 + -11y = -2(y + -2) Reorder the terms: 45 + -11y = -2(-2 + y) 45 + -11y = (-2 * -2 + y * -2) 45 + -11y = (4 + -2y) Solving 45 + -11y = 4 + -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. 45 + -11y + 2y = 4 + -2y + 2y Combine like terms: -11y + 2y = -9y 45 + -9y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 45 + -9y = 4 + 0 45 + -9y = 4 Add '-45' to each side of the equation. 45 + -45 + -9y = 4 + -45 Combine like terms: 45 + -45 = 0 0 + -9y = 4 + -45 -9y = 4 + -45 Combine like terms: 4 + -45 = -41 -9y = -41 Divide each side by '-9'. y = 4.555555556 Simplifying y = 4.555555556
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