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Simplifying 9y + -4(y + -8) = 4 + -9(y + -9) Reorder the terms: 9y + -4(-8 + y) = 4 + -9(y + -9) 9y + (-8 * -4 + y * -4) = 4 + -9(y + -9) 9y + (32 + -4y) = 4 + -9(y + -9) Reorder the terms: 32 + 9y + -4y = 4 + -9(y + -9) Combine like terms: 9y + -4y = 5y 32 + 5y = 4 + -9(y + -9) Reorder the terms: 32 + 5y = 4 + -9(-9 + y) 32 + 5y = 4 + (-9 * -9 + y * -9) 32 + 5y = 4 + (81 + -9y) Combine like terms: 4 + 81 = 85 32 + 5y = 85 + -9y Solving 32 + 5y = 85 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 32 + 5y + 9y = 85 + -9y + 9y Combine like terms: 5y + 9y = 14y 32 + 14y = 85 + -9y + 9y Combine like terms: -9y + 9y = 0 32 + 14y = 85 + 0 32 + 14y = 85 Add '-32' to each side of the equation. 32 + -32 + 14y = 85 + -32 Combine like terms: 32 + -32 = 0 0 + 14y = 85 + -32 14y = 85 + -32 Combine like terms: 85 + -32 = 53 14y = 53 Divide each side by '14'. y = 3.785714286 Simplifying y = 3.785714286
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