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Simplifying 4(y + -1) + -1(2y + -3) + 6 = 5 + -3(2 + -1y) + -4y Reorder the terms: 4(-1 + y) + -1(2y + -3) + 6 = 5 + -3(2 + -1y) + -4y (-1 * 4 + y * 4) + -1(2y + -3) + 6 = 5 + -3(2 + -1y) + -4y (-4 + 4y) + -1(2y + -3) + 6 = 5 + -3(2 + -1y) + -4y Reorder the terms: -4 + 4y + -1(-3 + 2y) + 6 = 5 + -3(2 + -1y) + -4y -4 + 4y + (-3 * -1 + 2y * -1) + 6 = 5 + -3(2 + -1y) + -4y -4 + 4y + (3 + -2y) + 6 = 5 + -3(2 + -1y) + -4y Reorder the terms: -4 + 3 + 6 + 4y + -2y = 5 + -3(2 + -1y) + -4y Combine like terms: -4 + 3 = -1 -1 + 6 + 4y + -2y = 5 + -3(2 + -1y) + -4y Combine like terms: -1 + 6 = 5 5 + 4y + -2y = 5 + -3(2 + -1y) + -4y Combine like terms: 4y + -2y = 2y 5 + 2y = 5 + -3(2 + -1y) + -4y 5 + 2y = 5 + (2 * -3 + -1y * -3) + -4y 5 + 2y = 5 + (-6 + 3y) + -4y Combine like terms: 5 + -6 = -1 5 + 2y = -1 + 3y + -4y Combine like terms: 3y + -4y = -1y 5 + 2y = -1 + -1y Solving 5 + 2y = -1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 5 + 2y + y = -1 + -1y + y Combine like terms: 2y + y = 3y 5 + 3y = -1 + -1y + y Combine like terms: -1y + y = 0 5 + 3y = -1 + 0 5 + 3y = -1 Add '-5' to each side of the equation. 5 + -5 + 3y = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = -1 + -5 3y = -1 + -5 Combine like terms: -1 + -5 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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