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Simplifying 5(y + 3) + y = 2(y + 2) + -8 Reorder the terms: 5(3 + y) + y = 2(y + 2) + -8 (3 * 5 + y * 5) + y = 2(y + 2) + -8 (15 + 5y) + y = 2(y + 2) + -8 Combine like terms: 5y + y = 6y 15 + 6y = 2(y + 2) + -8 Reorder the terms: 15 + 6y = 2(2 + y) + -8 15 + 6y = (2 * 2 + y * 2) + -8 15 + 6y = (4 + 2y) + -8 Reorder the terms: 15 + 6y = 4 + -8 + 2y Combine like terms: 4 + -8 = -4 15 + 6y = -4 + 2y Solving 15 + 6y = -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. 15 + 6y + -2y = -4 + 2y + -2y Combine like terms: 6y + -2y = 4y 15 + 4y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + 4y = -4 + 0 15 + 4y = -4 Add '-15' to each side of the equation. 15 + -15 + 4y = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = -4 + -15 4y = -4 + -15 Combine like terms: -4 + -15 = -19 4y = -19 Divide each side by '4'. y = -4.75 Simplifying y = -4.75
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