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Simplifying 6(y + -3) + 3(y + 4) = 48 Reorder the terms: 6(-3 + y) + 3(y + 4) = 48 (-3 * 6 + y * 6) + 3(y + 4) = 48 (-18 + 6y) + 3(y + 4) = 48 Reorder the terms: -18 + 6y + 3(4 + y) = 48 -18 + 6y + (4 * 3 + y * 3) = 48 -18 + 6y + (12 + 3y) = 48 Reorder the terms: -18 + 12 + 6y + 3y = 48 Combine like terms: -18 + 12 = -6 -6 + 6y + 3y = 48 Combine like terms: 6y + 3y = 9y -6 + 9y = 48 Solving -6 + 9y = 48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9y = 48 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = 48 + 6 9y = 48 + 6 Combine like terms: 48 + 6 = 54 9y = 54 Divide each side by '9'. y = 6 Simplifying y = 6
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