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Simplifying -2(2y + -9) + -1y = -2(y + -5) Reorder the terms: -2(-9 + 2y) + -1y = -2(y + -5) (-9 * -2 + 2y * -2) + -1y = -2(y + -5) (18 + -4y) + -1y = -2(y + -5) Combine like terms: -4y + -1y = -5y 18 + -5y = -2(y + -5) Reorder the terms: 18 + -5y = -2(-5 + y) 18 + -5y = (-5 * -2 + y * -2) 18 + -5y = (10 + -2y) Solving 18 + -5y = 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. 18 + -5y + 2y = 10 + -2y + 2y Combine like terms: -5y + 2y = -3y 18 + -3y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 18 + -3y = 10 + 0 18 + -3y = 10 Add '-18' to each side of the equation. 18 + -18 + -3y = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -3y = 10 + -18 -3y = 10 + -18 Combine like terms: 10 + -18 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667
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