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Simplifying 3(y + 2) + 3(y + -3) = 15 Reorder the terms: 3(2 + y) + 3(y + -3) = 15 (2 * 3 + y * 3) + 3(y + -3) = 15 (6 + 3y) + 3(y + -3) = 15 Reorder the terms: 6 + 3y + 3(-3 + y) = 15 6 + 3y + (-3 * 3 + y * 3) = 15 6 + 3y + (-9 + 3y) = 15 Reorder the terms: 6 + -9 + 3y + 3y = 15 Combine like terms: 6 + -9 = -3 -3 + 3y + 3y = 15 Combine like terms: 3y + 3y = 6y -3 + 6y = 15 Solving -3 + 6y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6y = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6y = 15 + 3 6y = 15 + 3 Combine like terms: 15 + 3 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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