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Simplifying 6[5 + -3y] = 4[25 + 2y] [5 * 6 + -3y * 6] = 4[25 + 2y] [30 + -18y] = 4[25 + 2y] 30 + -18y = [25 * 4 + 2y * 4] 30 + -18y = [100 + 8y] Solving 30 + -18y = 100 + 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 = 100 + 8y + -8y Combine like terms: -18y + -8y = -26y 30 + -26y = 100 + 8y + -8y Combine like terms: 8y + -8y = 0 30 + -26y = 100 + 0 30 + -26y = 100 Add '-30' to each side of the equation. 30 + -30 + -26y = 100 + -30 Combine like terms: 30 + -30 = 0 0 + -26y = 100 + -30 -26y = 100 + -30 Combine like terms: 100 + -30 = 70 -26y = 70 Divide each side by '-26'. y = -2.692307692 Simplifying y = -2.692307692
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