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Simplifying 3y + (2y + -5) = 13 + -2(y + 2) Reorder the terms: 3y + (-5 + 2y) = 13 + -2(y + 2) Remove parenthesis around (-5 + 2y) 3y + -5 + 2y = 13 + -2(y + 2) Reorder the terms: -5 + 3y + 2y = 13 + -2(y + 2) Combine like terms: 3y + 2y = 5y -5 + 5y = 13 + -2(y + 2) Reorder the terms: -5 + 5y = 13 + -2(2 + y) -5 + 5y = 13 + (2 * -2 + y * -2) -5 + 5y = 13 + (-4 + -2y) Combine like terms: 13 + -4 = 9 -5 + 5y = 9 + -2y Solving -5 + 5y = 9 + -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. -5 + 5y + 2y = 9 + -2y + 2y Combine like terms: 5y + 2y = 7y -5 + 7y = 9 + -2y + 2y Combine like terms: -2y + 2y = 0 -5 + 7y = 9 + 0 -5 + 7y = 9 Add '5' to each side of the equation. -5 + 5 + 7y = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7y = 9 + 5 7y = 9 + 5 Combine like terms: 9 + 5 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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