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Simplifying 5(3 + -2y) = 4(4y + 20) (3 * 5 + -2y * 5) = 4(4y + 20) (15 + -10y) = 4(4y + 20) Reorder the terms: 15 + -10y = 4(20 + 4y) 15 + -10y = (20 * 4 + 4y * 4) 15 + -10y = (80 + 16y) Solving 15 + -10y = 80 + 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. 15 + -10y + -16y = 80 + 16y + -16y Combine like terms: -10y + -16y = -26y 15 + -26y = 80 + 16y + -16y Combine like terms: 16y + -16y = 0 15 + -26y = 80 + 0 15 + -26y = 80 Add '-15' to each side of the equation. 15 + -15 + -26y = 80 + -15 Combine like terms: 15 + -15 = 0 0 + -26y = 80 + -15 -26y = 80 + -15 Combine like terms: 80 + -15 = 65 -26y = 65 Divide each side by '-26'. y = -2.5 Simplifying y = -2.5
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