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Simplifying 5 + 2y = 3(y + -1) Reorder the terms: 5 + 2y = 3(-1 + y) 5 + 2y = (-1 * 3 + y * 3) 5 + 2y = (-3 + 3y) Solving 5 + 2y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 5 + 2y + -3y = -3 + 3y + -3y Combine like terms: 2y + -3y = -1y 5 + -1y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + -1y = -3 + 0 5 + -1y = -3 Add '-5' to each side of the equation. 5 + -5 + -1y = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = -3 + -5 -1y = -3 + -5 Combine like terms: -3 + -5 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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