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Simplifying 4(y + -1) + 3(y + 2) = 5(y + -4) Reorder the terms: 4(-1 + y) + 3(y + 2) = 5(y + -4) (-1 * 4 + y * 4) + 3(y + 2) = 5(y + -4) (-4 + 4y) + 3(y + 2) = 5(y + -4) Reorder the terms: -4 + 4y + 3(2 + y) = 5(y + -4) -4 + 4y + (2 * 3 + y * 3) = 5(y + -4) -4 + 4y + (6 + 3y) = 5(y + -4) Reorder the terms: -4 + 6 + 4y + 3y = 5(y + -4) Combine like terms: -4 + 6 = 2 2 + 4y + 3y = 5(y + -4) Combine like terms: 4y + 3y = 7y 2 + 7y = 5(y + -4) Reorder the terms: 2 + 7y = 5(-4 + y) 2 + 7y = (-4 * 5 + y * 5) 2 + 7y = (-20 + 5y) Solving 2 + 7y = -20 + 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. 2 + 7y + -5y = -20 + 5y + -5y Combine like terms: 7y + -5y = 2y 2 + 2y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 2 + 2y = -20 + 0 2 + 2y = -20 Add '-2' to each side of the equation. 2 + -2 + 2y = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -20 + -2 2y = -20 + -2 Combine like terms: -20 + -2 = -22 2y = -22 Divide each side by '2'. y = -11 Simplifying y = -11
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