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Simplifying 5(3y + 4) = -4(6 + -4y) Reorder the terms: 5(4 + 3y) = -4(6 + -4y) (4 * 5 + 3y * 5) = -4(6 + -4y) (20 + 15y) = -4(6 + -4y) 20 + 15y = (6 * -4 + -4y * -4) 20 + 15y = (-24 + 16y) Solving 20 + 15y = -24 + 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. 20 + 15y + -16y = -24 + 16y + -16y Combine like terms: 15y + -16y = -1y 20 + -1y = -24 + 16y + -16y Combine like terms: 16y + -16y = 0 20 + -1y = -24 + 0 20 + -1y = -24 Add '-20' to each side of the equation. 20 + -20 + -1y = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = -24 + -20 -1y = -24 + -20 Combine like terms: -24 + -20 = -44 -1y = -44 Divide each side by '-1'. y = 44 Simplifying y = 44
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