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Simplifying -2(y + 1) = 3y + -9 + 2(2y + 5) Reorder the terms: -2(1 + y) = 3y + -9 + 2(2y + 5) (1 * -2 + y * -2) = 3y + -9 + 2(2y + 5) (-2 + -2y) = 3y + -9 + 2(2y + 5) Reorder the terms: -2 + -2y = 3y + -9 + 2(5 + 2y) -2 + -2y = 3y + -9 + (5 * 2 + 2y * 2) -2 + -2y = 3y + -9 + (10 + 4y) Reorder the terms: -2 + -2y = -9 + 10 + 3y + 4y Combine like terms: -9 + 10 = 1 -2 + -2y = 1 + 3y + 4y Combine like terms: 3y + 4y = 7y -2 + -2y = 1 + 7y Solving -2 + -2y = 1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -2 + -2y + -7y = 1 + 7y + -7y Combine like terms: -2y + -7y = -9y -2 + -9y = 1 + 7y + -7y Combine like terms: 7y + -7y = 0 -2 + -9y = 1 + 0 -2 + -9y = 1 Add '2' to each side of the equation. -2 + 2 + -9y = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -9y = 1 + 2 -9y = 1 + 2 Combine like terms: 1 + 2 = 3 -9y = 3 Divide each side by '-9'. y = -0.3333333333 Simplifying y = -0.3333333333
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