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Simplifying 6(4y + 4) = 4(4y + 3) Reorder the terms: 6(4 + 4y) = 4(4y + 3) (4 * 6 + 4y * 6) = 4(4y + 3) (24 + 24y) = 4(4y + 3) Reorder the terms: 24 + 24y = 4(3 + 4y) 24 + 24y = (3 * 4 + 4y * 4) 24 + 24y = (12 + 16y) Solving 24 + 24y = 12 + 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. 24 + 24y + -16y = 12 + 16y + -16y Combine like terms: 24y + -16y = 8y 24 + 8y = 12 + 16y + -16y Combine like terms: 16y + -16y = 0 24 + 8y = 12 + 0 24 + 8y = 12 Add '-24' to each side of the equation. 24 + -24 + 8y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 8y = 12 + -24 8y = 12 + -24 Combine like terms: 12 + -24 = -12 8y = -12 Divide each side by '8'. y = -1.5 Simplifying y = -1.5
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