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Simplifying 4(2y + 3) = 3(3y + -4) Reorder the terms: 4(3 + 2y) = 3(3y + -4) (3 * 4 + 2y * 4) = 3(3y + -4) (12 + 8y) = 3(3y + -4) Reorder the terms: 12 + 8y = 3(-4 + 3y) 12 + 8y = (-4 * 3 + 3y * 3) 12 + 8y = (-12 + 9y) Solving 12 + 8y = -12 + 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 + 8y + -9y = -12 + 9y + -9y Combine like terms: 8y + -9y = -1y 12 + -1y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -1y = -12 + 0 12 + -1y = -12 Add '-12' to each side of the equation. 12 + -12 + -1y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = -12 + -12 -1y = -12 + -12 Combine like terms: -12 + -12 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24
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