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Simplifying 2y + (3y + -9) = (3y + -18) + -1y Reorder the terms: 2y + (-9 + 3y) = (3y + -18) + -1y Remove parenthesis around (-9 + 3y) 2y + -9 + 3y = (3y + -18) + -1y Reorder the terms: -9 + 2y + 3y = (3y + -18) + -1y Combine like terms: 2y + 3y = 5y -9 + 5y = (3y + -18) + -1y Reorder the terms: -9 + 5y = (-18 + 3y) + -1y Remove parenthesis around (-18 + 3y) -9 + 5y = -18 + 3y + -1y Combine like terms: 3y + -1y = 2y -9 + 5y = -18 + 2y Solving -9 + 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. -9 + 5y + -2y = -18 + 2y + -2y Combine like terms: 5y + -2y = 3y -9 + 3y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + 3y = -18 + 0 -9 + 3y = -18 Add '9' to each side of the equation. -9 + 9 + 3y = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = -18 + 9 3y = -18 + 9 Combine like terms: -18 + 9 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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