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Simplifying 3(y + -1) = 2(y + 5) Reorder the terms: 3(-1 + y) = 2(y + 5) (-1 * 3 + y * 3) = 2(y + 5) (-3 + 3y) = 2(y + 5) Reorder the terms: -3 + 3y = 2(5 + y) -3 + 3y = (5 * 2 + y * 2) -3 + 3y = (10 + 2y) Solving -3 + 3y = 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. -3 + 3y + -2y = 10 + 2y + -2y Combine like terms: 3y + -2y = 1y -3 + 1y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + 1y = 10 + 0 -3 + 1y = 10 Add '3' to each side of the equation. -3 + 3 + 1y = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = 10 + 3 1y = 10 + 3 Combine like terms: 10 + 3 = 13 1y = 13 Divide each side by '1'. y = 13 Simplifying y = 13
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