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Simplifying 3y + -9 + 2(2y + 5) = -3(y + 1) Reorder the terms: 3y + -9 + 2(5 + 2y) = -3(y + 1) 3y + -9 + (5 * 2 + 2y * 2) = -3(y + 1) 3y + -9 + (10 + 4y) = -3(y + 1) Reorder the terms: -9 + 10 + 3y + 4y = -3(y + 1) Combine like terms: -9 + 10 = 1 1 + 3y + 4y = -3(y + 1) Combine like terms: 3y + 4y = 7y 1 + 7y = -3(y + 1) Reorder the terms: 1 + 7y = -3(1 + y) 1 + 7y = (1 * -3 + y * -3) 1 + 7y = (-3 + -3y) Solving 1 + 7y = -3 + -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. 1 + 7y + 3y = -3 + -3y + 3y Combine like terms: 7y + 3y = 10y 1 + 10y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 1 + 10y = -3 + 0 1 + 10y = -3 Add '-1' to each side of the equation. 1 + -1 + 10y = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 10y = -3 + -1 10y = -3 + -1 Combine like terms: -3 + -1 = -4 10y = -4 Divide each side by '10'. y = -0.4 Simplifying y = -0.4
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