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Simplifying 3(y + 5) + y = 2(y + 2) + 2 Reorder the terms: 3(5 + y) + y = 2(y + 2) + 2 (5 * 3 + y * 3) + y = 2(y + 2) + 2 (15 + 3y) + y = 2(y + 2) + 2 Combine like terms: 3y + y = 4y 15 + 4y = 2(y + 2) + 2 Reorder the terms: 15 + 4y = 2(2 + y) + 2 15 + 4y = (2 * 2 + y * 2) + 2 15 + 4y = (4 + 2y) + 2 Reorder the terms: 15 + 4y = 4 + 2 + 2y Combine like terms: 4 + 2 = 6 15 + 4y = 6 + 2y Solving 15 + 4y = 6 + 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. 15 + 4y + -2y = 6 + 2y + -2y Combine like terms: 4y + -2y = 2y 15 + 2y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + 2y = 6 + 0 15 + 2y = 6 Add '-15' to each side of the equation. 15 + -15 + 2y = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 6 + -15 2y = 6 + -15 Combine like terms: 6 + -15 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5
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