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Simplifying -6(y + 1) + 4(3y + -3) = 5(y + -5) + 14 Reorder the terms: -6(1 + y) + 4(3y + -3) = 5(y + -5) + 14 (1 * -6 + y * -6) + 4(3y + -3) = 5(y + -5) + 14 (-6 + -6y) + 4(3y + -3) = 5(y + -5) + 14 Reorder the terms: -6 + -6y + 4(-3 + 3y) = 5(y + -5) + 14 -6 + -6y + (-3 * 4 + 3y * 4) = 5(y + -5) + 14 -6 + -6y + (-12 + 12y) = 5(y + -5) + 14 Reorder the terms: -6 + -12 + -6y + 12y = 5(y + -5) + 14 Combine like terms: -6 + -12 = -18 -18 + -6y + 12y = 5(y + -5) + 14 Combine like terms: -6y + 12y = 6y -18 + 6y = 5(y + -5) + 14 Reorder the terms: -18 + 6y = 5(-5 + y) + 14 -18 + 6y = (-5 * 5 + y * 5) + 14 -18 + 6y = (-25 + 5y) + 14 Reorder the terms: -18 + 6y = -25 + 14 + 5y Combine like terms: -25 + 14 = -11 -18 + 6y = -11 + 5y Solving -18 + 6y = -11 + 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 = -11 + 5y + -5y Combine like terms: 6y + -5y = 1y -18 + 1y = -11 + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 1y = -11 + 0 -18 + 1y = -11 Add '18' to each side of the equation. -18 + 18 + 1y = -11 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = -11 + 18 1y = -11 + 18 Combine like terms: -11 + 18 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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