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Simplifying 4(5y + -9) + -24y + 70 = 4(1 + -21y) Reorder the terms: 4(-9 + 5y) + -24y + 70 = 4(1 + -21y) (-9 * 4 + 5y * 4) + -24y + 70 = 4(1 + -21y) (-36 + 20y) + -24y + 70 = 4(1 + -21y) Reorder the terms: -36 + 70 + 20y + -24y = 4(1 + -21y) Combine like terms: -36 + 70 = 34 34 + 20y + -24y = 4(1 + -21y) Combine like terms: 20y + -24y = -4y 34 + -4y = 4(1 + -21y) 34 + -4y = (1 * 4 + -21y * 4) 34 + -4y = (4 + -84y) Solving 34 + -4y = 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. 34 + -4y + 84y = 4 + -84y + 84y Combine like terms: -4y + 84y = 80y 34 + 80y = 4 + -84y + 84y Combine like terms: -84y + 84y = 0 34 + 80y = 4 + 0 34 + 80y = 4 Add '-34' to each side of the equation. 34 + -34 + 80y = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 80y = 4 + -34 80y = 4 + -34 Combine like terms: 4 + -34 = -30 80y = -30 Divide each side by '80'. y = -0.375 Simplifying y = -0.375
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