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Simplifying 4y + 9 = -3(1 + -2y) * 5 Reorder the terms: 9 + 4y = -3(1 + -2y) * 5 Reorder the terms for easier multiplication: 9 + 4y = -3 * 5(1 + -2y) Multiply -3 * 5 9 + 4y = -15(1 + -2y) 9 + 4y = (1 * -15 + -2y * -15) 9 + 4y = (-15 + 30y) Solving 9 + 4y = -15 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 9 + 4y + -30y = -15 + 30y + -30y Combine like terms: 4y + -30y = -26y 9 + -26y = -15 + 30y + -30y Combine like terms: 30y + -30y = 0 9 + -26y = -15 + 0 9 + -26y = -15 Add '-9' to each side of the equation. 9 + -9 + -26y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -26y = -15 + -9 -26y = -15 + -9 Combine like terms: -15 + -9 = -24 -26y = -24 Divide each side by '-26'. y = 0.9230769231 Simplifying y = 0.9230769231
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