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Simplifying 6y + -9 + 5(2y + 3) = -2(y + 2) Reorder the terms: 6y + -9 + 5(3 + 2y) = -2(y + 2) 6y + -9 + (3 * 5 + 2y * 5) = -2(y + 2) 6y + -9 + (15 + 10y) = -2(y + 2) Reorder the terms: -9 + 15 + 6y + 10y = -2(y + 2) Combine like terms: -9 + 15 = 6 6 + 6y + 10y = -2(y + 2) Combine like terms: 6y + 10y = 16y 6 + 16y = -2(y + 2) Reorder the terms: 6 + 16y = -2(2 + y) 6 + 16y = (2 * -2 + y * -2) 6 + 16y = (-4 + -2y) Solving 6 + 16y = -4 + -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. 6 + 16y + 2y = -4 + -2y + 2y Combine like terms: 16y + 2y = 18y 6 + 18y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 18y = -4 + 0 6 + 18y = -4 Add '-6' to each side of the equation. 6 + -6 + 18y = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 18y = -4 + -6 18y = -4 + -6 Combine like terms: -4 + -6 = -10 18y = -10 Divide each side by '18'. y = -0.5555555556 Simplifying y = -0.5555555556
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