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Simplifying 2(y + 4) + -6 = 3(5 + 3y) Reorder the terms: 2(4 + y) + -6 = 3(5 + 3y) (4 * 2 + y * 2) + -6 = 3(5 + 3y) (8 + 2y) + -6 = 3(5 + 3y) Reorder the terms: 8 + -6 + 2y = 3(5 + 3y) Combine like terms: 8 + -6 = 2 2 + 2y = 3(5 + 3y) 2 + 2y = (5 * 3 + 3y * 3) 2 + 2y = (15 + 9y) Solving 2 + 2y = 15 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 2 + 2y + -9y = 15 + 9y + -9y Combine like terms: 2y + -9y = -7y 2 + -7y = 15 + 9y + -9y Combine like terms: 9y + -9y = 0 2 + -7y = 15 + 0 2 + -7y = 15 Add '-2' to each side of the equation. 2 + -2 + -7y = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = 15 + -2 -7y = 15 + -2 Combine like terms: 15 + -2 = 13 -7y = 13 Divide each side by '-7'. y = -1.857142857 Simplifying y = -1.857142857
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