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Simplifying 2 + -4(y + -5) = 7 + -9y Reorder the terms: 2 + -4(-5 + y) = 7 + -9y 2 + (-5 * -4 + y * -4) = 7 + -9y 2 + (20 + -4y) = 7 + -9y Combine like terms: 2 + 20 = 22 22 + -4y = 7 + -9y Solving 22 + -4y = 7 + -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. 22 + -4y + 9y = 7 + -9y + 9y Combine like terms: -4y + 9y = 5y 22 + 5y = 7 + -9y + 9y Combine like terms: -9y + 9y = 0 22 + 5y = 7 + 0 22 + 5y = 7 Add '-22' to each side of the equation. 22 + -22 + 5y = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 5y = 7 + -22 5y = 7 + -22 Combine like terms: 7 + -22 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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