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Simplifying y + -1 + 4(3y + 1) = -3(y + 5) Reorder the terms: y + -1 + 4(1 + 3y) = -3(y + 5) y + -1 + (1 * 4 + 3y * 4) = -3(y + 5) y + -1 + (4 + 12y) = -3(y + 5) Reorder the terms: -1 + 4 + y + 12y = -3(y + 5) Combine like terms: -1 + 4 = 3 3 + y + 12y = -3(y + 5) Combine like terms: y + 12y = 13y 3 + 13y = -3(y + 5) Reorder the terms: 3 + 13y = -3(5 + y) 3 + 13y = (5 * -3 + y * -3) 3 + 13y = (-15 + -3y) Solving 3 + 13y = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 3 + 13y + 3y = -15 + -3y + 3y Combine like terms: 13y + 3y = 16y 3 + 16y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + 16y = -15 + 0 3 + 16y = -15 Add '-3' to each side of the equation. 3 + -3 + 16y = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 16y = -15 + -3 16y = -15 + -3 Combine like terms: -15 + -3 = -18 16y = -18 Divide each side by '16'. y = -1.125 Simplifying y = -1.125
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