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Simplifying y + -8 + 3(4y + 3) = -2(y + 4) Reorder the terms: y + -8 + 3(3 + 4y) = -2(y + 4) y + -8 + (3 * 3 + 4y * 3) = -2(y + 4) y + -8 + (9 + 12y) = -2(y + 4) Reorder the terms: -8 + 9 + y + 12y = -2(y + 4) Combine like terms: -8 + 9 = 1 1 + y + 12y = -2(y + 4) Combine like terms: y + 12y = 13y 1 + 13y = -2(y + 4) Reorder the terms: 1 + 13y = -2(4 + y) 1 + 13y = (4 * -2 + y * -2) 1 + 13y = (-8 + -2y) Solving 1 + 13y = -8 + -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. 1 + 13y + 2y = -8 + -2y + 2y Combine like terms: 13y + 2y = 15y 1 + 15y = -8 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 15y = -8 + 0 1 + 15y = -8 Add '-1' to each side of the equation. 1 + -1 + 15y = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 15y = -8 + -1 15y = -8 + -1 Combine like terms: -8 + -1 = -9 15y = -9 Divide each side by '15'. y = -0.6 Simplifying y = -0.6
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