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Simplifying -3(4y + -4) = 4(1 + -4y) + 10 Reorder the terms: -3(-4 + 4y) = 4(1 + -4y) + 10 (-4 * -3 + 4y * -3) = 4(1 + -4y) + 10 (12 + -12y) = 4(1 + -4y) + 10 12 + -12y = (1 * 4 + -4y * 4) + 10 12 + -12y = (4 + -16y) + 10 Reorder the terms: 12 + -12y = 4 + 10 + -16y Combine like terms: 4 + 10 = 14 12 + -12y = 14 + -16y Solving 12 + -12y = 14 + -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. 12 + -12y + 16y = 14 + -16y + 16y Combine like terms: -12y + 16y = 4y 12 + 4y = 14 + -16y + 16y Combine like terms: -16y + 16y = 0 12 + 4y = 14 + 0 12 + 4y = 14 Add '-12' to each side of the equation. 12 + -12 + 4y = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 14 + -12 4y = 14 + -12 Combine like terms: 14 + -12 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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