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Simplifying 4[5y + -9] + -24y + 70 = 4[1 + -2y] Reorder the terms: 4[-9 + 5y] + -24y + 70 = 4[1 + -2y] [-9 * 4 + 5y * 4] + -24y + 70 = 4[1 + -2y] [-36 + 20y] + -24y + 70 = 4[1 + -2y] Reorder the terms: -36 + 70 + 20y + -24y = 4[1 + -2y] Combine like terms: -36 + 70 = 34 34 + 20y + -24y = 4[1 + -2y] Combine like terms: 20y + -24y = -4y 34 + -4y = 4[1 + -2y] 34 + -4y = [1 * 4 + -2y * 4] 34 + -4y = [4 + -8y] Solving 34 + -4y = 4 + -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. 34 + -4y + 8y = 4 + -8y + 8y Combine like terms: -4y + 8y = 4y 34 + 4y = 4 + -8y + 8y Combine like terms: -8y + 8y = 0 34 + 4y = 4 + 0 34 + 4y = 4 Add '-34' to each side of the equation. 34 + -34 + 4y = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 4y = 4 + -34 4y = 4 + -34 Combine like terms: 4 + -34 = -30 4y = -30 Divide each side by '4'. y = -7.5 Simplifying y = -7.5
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