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Simplifying 6(y + -4) + 3(y + 2) = 18 Reorder the terms: 6(-4 + y) + 3(y + 2) = 18 (-4 * 6 + y * 6) + 3(y + 2) = 18 (-24 + 6y) + 3(y + 2) = 18 Reorder the terms: -24 + 6y + 3(2 + y) = 18 -24 + 6y + (2 * 3 + y * 3) = 18 -24 + 6y + (6 + 3y) = 18 Reorder the terms: -24 + 6 + 6y + 3y = 18 Combine like terms: -24 + 6 = -18 -18 + 6y + 3y = 18 Combine like terms: 6y + 3y = 9y -18 + 9y = 18 Solving -18 + 9y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9y = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 9y = 18 + 18 9y = 18 + 18 Combine like terms: 18 + 18 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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