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Simplifying 3(y + 4) = 9y + -48 Reorder the terms: 3(4 + y) = 9y + -48 (4 * 3 + y * 3) = 9y + -48 (12 + 3y) = 9y + -48 Reorder the terms: 12 + 3y = -48 + 9y Solving 12 + 3y = -48 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 12 + 3y + -9y = -48 + 9y + -9y Combine like terms: 3y + -9y = -6y 12 + -6y = -48 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -6y = -48 + 0 12 + -6y = -48 Add '-12' to each side of the equation. 12 + -12 + -6y = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = -48 + -12 -6y = -48 + -12 Combine like terms: -48 + -12 = -60 -6y = -60 Divide each side by '-6'. y = 10 Simplifying y = 10
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