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Simplifying 3(2y + -3) = 5(y + 1) Reorder the terms: 3(-3 + 2y) = 5(y + 1) (-3 * 3 + 2y * 3) = 5(y + 1) (-9 + 6y) = 5(y + 1) Reorder the terms: -9 + 6y = 5(1 + y) -9 + 6y = (1 * 5 + y * 5) -9 + 6y = (5 + 5y) Solving -9 + 6y = 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. -9 + 6y + -5y = 5 + 5y + -5y Combine like terms: 6y + -5y = 1y -9 + 1y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + 1y = 5 + 0 -9 + 1y = 5 Add '9' to each side of the equation. -9 + 9 + 1y = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1y = 5 + 9 1y = 5 + 9 Combine like terms: 5 + 9 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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