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Simplifying 7y + -8 + 2(3y + 5) = -3(y + 2) Reorder the terms: 7y + -8 + 2(5 + 3y) = -3(y + 2) 7y + -8 + (5 * 2 + 3y * 2) = -3(y + 2) 7y + -8 + (10 + 6y) = -3(y + 2) Reorder the terms: -8 + 10 + 7y + 6y = -3(y + 2) Combine like terms: -8 + 10 = 2 2 + 7y + 6y = -3(y + 2) Combine like terms: 7y + 6y = 13y 2 + 13y = -3(y + 2) Reorder the terms: 2 + 13y = -3(2 + y) 2 + 13y = (2 * -3 + y * -3) 2 + 13y = (-6 + -3y) Solving 2 + 13y = -6 + -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. 2 + 13y + 3y = -6 + -3y + 3y Combine like terms: 13y + 3y = 16y 2 + 16y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 2 + 16y = -6 + 0 2 + 16y = -6 Add '-2' to each side of the equation. 2 + -2 + 16y = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 16y = -6 + -2 16y = -6 + -2 Combine like terms: -6 + -2 = -8 16y = -8 Divide each side by '16'. y = -0.5 Simplifying y = -0.5
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