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Simplifying 4(6 + 3y) = 2(8y + 12) (6 * 4 + 3y * 4) = 2(8y + 12) (24 + 12y) = 2(8y + 12) Reorder the terms: 24 + 12y = 2(12 + 8y) 24 + 12y = (12 * 2 + 8y * 2) 24 + 12y = (24 + 16y) Add '-24' to each side of the equation. 24 + -24 + 12y = 24 + -24 + 16y Combine like terms: 24 + -24 = 0 0 + 12y = 24 + -24 + 16y 12y = 24 + -24 + 16y Combine like terms: 24 + -24 = 0 12y = 0 + 16y 12y = 16y Solving 12y = 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 12y + -16y = 16y + -16y Combine like terms: 12y + -16y = -4y -4y = 16y + -16y Combine like terms: 16y + -16y = 0 -4y = 0 Divide each side by '-4'. y = 0 Simplifying y = 0
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