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Simplifying 4(5y + -9) + -24y + 70 = 4(1 + -21) Reorder the terms: 4(-9 + 5y) + -24y + 70 = 4(1 + -21) (-9 * 4 + 5y * 4) + -24y + 70 = 4(1 + -21) (-36 + 20y) + -24y + 70 = 4(1 + -21) Reorder the terms: -36 + 70 + 20y + -24y = 4(1 + -21) Combine like terms: -36 + 70 = 34 34 + 20y + -24y = 4(1 + -21) Combine like terms: 20y + -24y = -4y 34 + -4y = 4(1 + -21) Combine like terms: 1 + -21 = -20 34 + -4y = 4(-20) Multiply 4 * -20 34 + -4y = -80 Solving 34 + -4y = -80 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -4y = -80 + -34 Combine like terms: 34 + -34 = 0 0 + -4y = -80 + -34 -4y = -80 + -34 Combine like terms: -80 + -34 = -114 -4y = -114 Divide each side by '-4'. y = 28.5 Simplifying y = 28.5
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