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Simplifying 6(5 + -3y) = 4(45 + 2y) (5 * 6 + -3y * 6) = 4(45 + 2y) (30 + -18y) = 4(45 + 2y) 30 + -18y = (45 * 4 + 2y * 4) 30 + -18y = (180 + 8y) Solving 30 + -18y = 180 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 30 + -18y + -8y = 180 + 8y + -8y Combine like terms: -18y + -8y = -26y 30 + -26y = 180 + 8y + -8y Combine like terms: 8y + -8y = 0 30 + -26y = 180 + 0 30 + -26y = 180 Add '-30' to each side of the equation. 30 + -30 + -26y = 180 + -30 Combine like terms: 30 + -30 = 0 0 + -26y = 180 + -30 -26y = 180 + -30 Combine like terms: 180 + -30 = 150 -26y = 150 Divide each side by '-26'. y = -5.769230769 Simplifying y = -5.769230769
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