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Simplifying 2(y + 2) = 5(y + -1) Reorder the terms: 2(2 + y) = 5(y + -1) (2 * 2 + y * 2) = 5(y + -1) (4 + 2y) = 5(y + -1) Reorder the terms: 4 + 2y = 5(-1 + y) 4 + 2y = (-1 * 5 + y * 5) 4 + 2y = (-5 + 5y) Solving 4 + 2y = -5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 4 + 2y + -5y = -5 + 5y + -5y Combine like terms: 2y + -5y = -3y 4 + -3y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 4 + -3y = -5 + 0 4 + -3y = -5 Add '-4' to each side of the equation. 4 + -4 + -3y = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = -5 + -4 -3y = -5 + -4 Combine like terms: -5 + -4 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3
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