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Simplifying 4y + -7 + 3(3y + 3) = -2(y + 4) Reorder the terms: 4y + -7 + 3(3 + 3y) = -2(y + 4) 4y + -7 + (3 * 3 + 3y * 3) = -2(y + 4) 4y + -7 + (9 + 9y) = -2(y + 4) Reorder the terms: -7 + 9 + 4y + 9y = -2(y + 4) Combine like terms: -7 + 9 = 2 2 + 4y + 9y = -2(y + 4) Combine like terms: 4y + 9y = 13y 2 + 13y = -2(y + 4) Reorder the terms: 2 + 13y = -2(4 + y) 2 + 13y = (4 * -2 + y * -2) 2 + 13y = (-8 + -2y) Solving 2 + 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. 2 + 13y + 2y = -8 + -2y + 2y Combine like terms: 13y + 2y = 15y 2 + 15y = -8 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + 15y = -8 + 0 2 + 15y = -8 Add '-2' to each side of the equation. 2 + -2 + 15y = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 15y = -8 + -2 15y = -8 + -2 Combine like terms: -8 + -2 = -10 15y = -10 Divide each side by '15'. y = -0.6666666667 Simplifying y = -0.6666666667
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