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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 = -88y 34 + -88y = -4 + 84y + -84y Combine like terms: 84y + -84y = 0 34 + -88y = -4 + 0 34 + -88y = -4 Add '-34' to each side of the equation. 34 + -34 + -88y = -4 + -34 Combine like terms: 34 + -34 = 0 0 + -88y = -4 + -34 -88y = -4 + -34 Combine like terms: -4 + -34 = -38 -88y = -38 Divide each side by '-88'. y = 0.4318181818 Simplifying y = 0.4318181818
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