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Simplifying 4(y + 3) = 3(3y + -6) Reorder the terms: 4(3 + y) = 3(3y + -6) (3 * 4 + y * 4) = 3(3y + -6) (12 + 4y) = 3(3y + -6) Reorder the terms: 12 + 4y = 3(-6 + 3y) 12 + 4y = (-6 * 3 + 3y * 3) 12 + 4y = (-18 + 9y) Solving 12 + 4y = -18 + 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 + 4y + -9y = -18 + 9y + -9y Combine like terms: 4y + -9y = -5y 12 + -5y = -18 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -5y = -18 + 0 12 + -5y = -18 Add '-12' to each side of the equation. 12 + -12 + -5y = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = -18 + -12 -5y = -18 + -12 Combine like terms: -18 + -12 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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