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Simplifying -3(y + 1) + 3(3y + -5) = 5(y + -5) + 12 Reorder the terms: -3(1 + y) + 3(3y + -5) = 5(y + -5) + 12 (1 * -3 + y * -3) + 3(3y + -5) = 5(y + -5) + 12 (-3 + -3y) + 3(3y + -5) = 5(y + -5) + 12 Reorder the terms: -3 + -3y + 3(-5 + 3y) = 5(y + -5) + 12 -3 + -3y + (-5 * 3 + 3y * 3) = 5(y + -5) + 12 -3 + -3y + (-15 + 9y) = 5(y + -5) + 12 Reorder the terms: -3 + -15 + -3y + 9y = 5(y + -5) + 12 Combine like terms: -3 + -15 = -18 -18 + -3y + 9y = 5(y + -5) + 12 Combine like terms: -3y + 9y = 6y -18 + 6y = 5(y + -5) + 12 Reorder the terms: -18 + 6y = 5(-5 + y) + 12 -18 + 6y = (-5 * 5 + y * 5) + 12 -18 + 6y = (-25 + 5y) + 12 Reorder the terms: -18 + 6y = -25 + 12 + 5y Combine like terms: -25 + 12 = -13 -18 + 6y = -13 + 5y Solving -18 + 6y = -13 + 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. -18 + 6y + -5y = -13 + 5y + -5y Combine like terms: 6y + -5y = 1y -18 + 1y = -13 + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 1y = -13 + 0 -18 + 1y = -13 Add '18' to each side of the equation. -18 + 18 + 1y = -13 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = -13 + 18 1y = -13 + 18 Combine like terms: -13 + 18 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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