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Simplifying 4(y + 3) + -1(3y + -4) = 5 + -1(2y + 4) Reorder the terms: 4(3 + y) + -1(3y + -4) = 5 + -1(2y + 4) (3 * 4 + y * 4) + -1(3y + -4) = 5 + -1(2y + 4) (12 + 4y) + -1(3y + -4) = 5 + -1(2y + 4) Reorder the terms: 12 + 4y + -1(-4 + 3y) = 5 + -1(2y + 4) 12 + 4y + (-4 * -1 + 3y * -1) = 5 + -1(2y + 4) 12 + 4y + (4 + -3y) = 5 + -1(2y + 4) Reorder the terms: 12 + 4 + 4y + -3y = 5 + -1(2y + 4) Combine like terms: 12 + 4 = 16 16 + 4y + -3y = 5 + -1(2y + 4) Combine like terms: 4y + -3y = 1y 16 + 1y = 5 + -1(2y + 4) Reorder the terms: 16 + 1y = 5 + -1(4 + 2y) 16 + 1y = 5 + (4 * -1 + 2y * -1) 16 + 1y = 5 + (-4 + -2y) Combine like terms: 5 + -4 = 1 16 + 1y = 1 + -2y Solving 16 + 1y = 1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 16 + 1y + 2y = 1 + -2y + 2y Combine like terms: 1y + 2y = 3y 16 + 3y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 16 + 3y = 1 + 0 16 + 3y = 1 Add '-16' to each side of the equation. 16 + -16 + 3y = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 3y = 1 + -16 3y = 1 + -16 Combine like terms: 1 + -16 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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