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Simplifying 4(5y + -9) + -24 + 70 = 4(1 + -21y) Reorder the terms: 4(-9 + 5y) + -24 + 70 = 4(1 + -21y) (-9 * 4 + 5y * 4) + -24 + 70 = 4(1 + -21y) (-36 + 20y) + -24 + 70 = 4(1 + -21y) Reorder the terms: -36 + -24 + 70 + 20y = 4(1 + -21y) Combine like terms: -36 + -24 = -60 -60 + 70 + 20y = 4(1 + -21y) Combine like terms: -60 + 70 = 10 10 + 20y = 4(1 + -21y) 10 + 20y = (1 * 4 + -21y * 4) 10 + 20y = (4 + -84y) Solving 10 + 20y = 4 + -84y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '84y' to each side of the equation. 10 + 20y + 84y = 4 + -84y + 84y Combine like terms: 20y + 84y = 104y 10 + 104y = 4 + -84y + 84y Combine like terms: -84y + 84y = 0 10 + 104y = 4 + 0 10 + 104y = 4 Add '-10' to each side of the equation. 10 + -10 + 104y = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 104y = 4 + -10 104y = 4 + -10 Combine like terms: 4 + -10 = -6 104y = -6 Divide each side by '104'. y = -0.05769230769 Simplifying y = -0.05769230769
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