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Simplifying 5(y + -3) = 3(y + 12) Reorder the terms: 5(-3 + y) = 3(y + 12) (-3 * 5 + y * 5) = 3(y + 12) (-15 + 5y) = 3(y + 12) Reorder the terms: -15 + 5y = 3(12 + y) -15 + 5y = (12 * 3 + y * 3) -15 + 5y = (36 + 3y) Solving -15 + 5y = 36 + 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. -15 + 5y + -3y = 36 + 3y + -3y Combine like terms: 5y + -3y = 2y -15 + 2y = 36 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 2y = 36 + 0 -15 + 2y = 36 Add '15' to each side of the equation. -15 + 15 + 2y = 36 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = 36 + 15 2y = 36 + 15 Combine like terms: 36 + 15 = 51 2y = 51 Divide each side by '2'. y = 25.5 Simplifying y = 25.5
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