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Simplifying -5(4y + -9) + -1y = -2(y + -5) Reorder the terms: -5(-9 + 4y) + -1y = -2(y + -5) (-9 * -5 + 4y * -5) + -1y = -2(y + -5) (45 + -20y) + -1y = -2(y + -5) Combine like terms: -20y + -1y = -21y 45 + -21y = -2(y + -5) Reorder the terms: 45 + -21y = -2(-5 + y) 45 + -21y = (-5 * -2 + y * -2) 45 + -21y = (10 + -2y) Solving 45 + -21y = 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. 45 + -21y + 2y = 10 + -2y + 2y Combine like terms: -21y + 2y = -19y 45 + -19y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 45 + -19y = 10 + 0 45 + -19y = 10 Add '-45' to each side of the equation. 45 + -45 + -19y = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -19y = 10 + -45 -19y = 10 + -45 Combine like terms: 10 + -45 = -35 -19y = -35 Divide each side by '-19'. y = 1.842105263 Simplifying y = 1.842105263
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