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Simplifying 4(4 + -3y) = 2(2y + 4) (4 * 4 + -3y * 4) = 2(2y + 4) (16 + -12y) = 2(2y + 4) Reorder the terms: 16 + -12y = 2(4 + 2y) 16 + -12y = (4 * 2 + 2y * 2) 16 + -12y = (8 + 4y) Solving 16 + -12y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 16 + -12y + -4y = 8 + 4y + -4y Combine like terms: -12y + -4y = -16y 16 + -16y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 16 + -16y = 8 + 0 16 + -16y = 8 Add '-16' to each side of the equation. 16 + -16 + -16y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -16y = 8 + -16 -16y = 8 + -16 Combine like terms: 8 + -16 = -8 -16y = -8 Divide each side by '-16'. y = 0.5 Simplifying y = 0.5
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