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Simplifying 3y + 2(y + 2) = 13 + -1(2y + -5) Reorder the terms: 3y + 2(2 + y) = 13 + -1(2y + -5) 3y + (2 * 2 + y * 2) = 13 + -1(2y + -5) 3y + (4 + 2y) = 13 + -1(2y + -5) Reorder the terms: 4 + 3y + 2y = 13 + -1(2y + -5) Combine like terms: 3y + 2y = 5y 4 + 5y = 13 + -1(2y + -5) Reorder the terms: 4 + 5y = 13 + -1(-5 + 2y) 4 + 5y = 13 + (-5 * -1 + 2y * -1) 4 + 5y = 13 + (5 + -2y) Combine like terms: 13 + 5 = 18 4 + 5y = 18 + -2y Solving 4 + 5y = 18 + -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. 4 + 5y + 2y = 18 + -2y + 2y Combine like terms: 5y + 2y = 7y 4 + 7y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 7y = 18 + 0 4 + 7y = 18 Add '-4' to each side of the equation. 4 + -4 + 7y = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 18 + -4 7y = 18 + -4 Combine like terms: 18 + -4 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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