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Simplifying -6(y + 3) + 4(3y + -3) = 5(y + -3) + 14 Reorder the terms: -6(3 + y) + 4(3y + -3) = 5(y + -3) + 14 (3 * -6 + y * -6) + 4(3y + -3) = 5(y + -3) + 14 (-18 + -6y) + 4(3y + -3) = 5(y + -3) + 14 Reorder the terms: -18 + -6y + 4(-3 + 3y) = 5(y + -3) + 14 -18 + -6y + (-3 * 4 + 3y * 4) = 5(y + -3) + 14 -18 + -6y + (-12 + 12y) = 5(y + -3) + 14 Reorder the terms: -18 + -12 + -6y + 12y = 5(y + -3) + 14 Combine like terms: -18 + -12 = -30 -30 + -6y + 12y = 5(y + -3) + 14 Combine like terms: -6y + 12y = 6y -30 + 6y = 5(y + -3) + 14 Reorder the terms: -30 + 6y = 5(-3 + y) + 14 -30 + 6y = (-3 * 5 + y * 5) + 14 -30 + 6y = (-15 + 5y) + 14 Reorder the terms: -30 + 6y = -15 + 14 + 5y Combine like terms: -15 + 14 = -1 -30 + 6y = -1 + 5y Solving -30 + 6y = -1 + 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. -30 + 6y + -5y = -1 + 5y + -5y Combine like terms: 6y + -5y = 1y -30 + 1y = -1 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 1y = -1 + 0 -30 + 1y = -1 Add '30' to each side of the equation. -30 + 30 + 1y = -1 + 30 Combine like terms: -30 + 30 = 0 0 + 1y = -1 + 30 1y = -1 + 30 Combine like terms: -1 + 30 = 29 1y = 29 Divide each side by '1'. y = 29 Simplifying y = 29
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