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Simplifying 2y + (y + -3) = 18 + -2(y + 3) Reorder the terms: 2y + (-3 + y) = 18 + -2(y + 3) Remove parenthesis around (-3 + y) 2y + -3 + y = 18 + -2(y + 3) Reorder the terms: -3 + 2y + y = 18 + -2(y + 3) Combine like terms: 2y + y = 3y -3 + 3y = 18 + -2(y + 3) Reorder the terms: -3 + 3y = 18 + -2(3 + y) -3 + 3y = 18 + (3 * -2 + y * -2) -3 + 3y = 18 + (-6 + -2y) Combine like terms: 18 + -6 = 12 -3 + 3y = 12 + -2y Solving -3 + 3y = 12 + -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. -3 + 3y + 2y = 12 + -2y + 2y Combine like terms: 3y + 2y = 5y -3 + 5y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 -3 + 5y = 12 + 0 -3 + 5y = 12 Add '3' to each side of the equation. -3 + 3 + 5y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5y = 12 + 3 5y = 12 + 3 Combine like terms: 12 + 3 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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