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Simplifying 4(3y + 3) = 3(2y + -4) Reorder the terms: 4(3 + 3y) = 3(2y + -4) (3 * 4 + 3y * 4) = 3(2y + -4) (12 + 12y) = 3(2y + -4) Reorder the terms: 12 + 12y = 3(-4 + 2y) 12 + 12y = (-4 * 3 + 2y * 3) 12 + 12y = (-12 + 6y) Solving 12 + 12y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 12y + -6y = -12 + 6y + -6y Combine like terms: 12y + -6y = 6y 12 + 6y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 6y = -12 + 0 12 + 6y = -12 Add '-12' to each side of the equation. 12 + -12 + 6y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = -12 + -12 6y = -12 + -12 Combine like terms: -12 + -12 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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