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Simplifying 8 + -5(8y + -5) = -5(9y + -8) + 7 Reorder the terms: 8 + -5(-5 + 8y) = -5(9y + -8) + 7 8 + (-5 * -5 + 8y * -5) = -5(9y + -8) + 7 8 + (25 + -40y) = -5(9y + -8) + 7 Combine like terms: 8 + 25 = 33 33 + -40y = -5(9y + -8) + 7 Reorder the terms: 33 + -40y = -5(-8 + 9y) + 7 33 + -40y = (-8 * -5 + 9y * -5) + 7 33 + -40y = (40 + -45y) + 7 Reorder the terms: 33 + -40y = 40 + 7 + -45y Combine like terms: 40 + 7 = 47 33 + -40y = 47 + -45y Solving 33 + -40y = 47 + -45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45y' to each side of the equation. 33 + -40y + 45y = 47 + -45y + 45y Combine like terms: -40y + 45y = 5y 33 + 5y = 47 + -45y + 45y Combine like terms: -45y + 45y = 0 33 + 5y = 47 + 0 33 + 5y = 47 Add '-33' to each side of the equation. 33 + -33 + 5y = 47 + -33 Combine like terms: 33 + -33 = 0 0 + 5y = 47 + -33 5y = 47 + -33 Combine like terms: 47 + -33 = 14 5y = 14 Divide each side by '5'. y = 2.8 Simplifying y = 2.8
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