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Simplifying 6(y + 3) + -5(3y + 2) = 2(2y + -9) Reorder the terms: 6(3 + y) + -5(3y + 2) = 2(2y + -9) (3 * 6 + y * 6) + -5(3y + 2) = 2(2y + -9) (18 + 6y) + -5(3y + 2) = 2(2y + -9) Reorder the terms: 18 + 6y + -5(2 + 3y) = 2(2y + -9) 18 + 6y + (2 * -5 + 3y * -5) = 2(2y + -9) 18 + 6y + (-10 + -15y) = 2(2y + -9) Reorder the terms: 18 + -10 + 6y + -15y = 2(2y + -9) Combine like terms: 18 + -10 = 8 8 + 6y + -15y = 2(2y + -9) Combine like terms: 6y + -15y = -9y 8 + -9y = 2(2y + -9) Reorder the terms: 8 + -9y = 2(-9 + 2y) 8 + -9y = (-9 * 2 + 2y * 2) 8 + -9y = (-18 + 4y) Solving 8 + -9y = -18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + -9y + -4y = -18 + 4y + -4y Combine like terms: -9y + -4y = -13y 8 + -13y = -18 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -13y = -18 + 0 8 + -13y = -18 Add '-8' to each side of the equation. 8 + -8 + -13y = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13y = -18 + -8 -13y = -18 + -8 Combine like terms: -18 + -8 = -26 -13y = -26 Divide each side by '-13'. y = 2 Simplifying y = 2
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