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Simplifying 5(y + -9) = 7y + -45 Reorder the terms: 5(-9 + y) = 7y + -45 (-9 * 5 + y * 5) = 7y + -45 (-45 + 5y) = 7y + -45 Reorder the terms: -45 + 5y = -45 + 7y Add '45' to each side of the equation. -45 + 45 + 5y = -45 + 45 + 7y Combine like terms: -45 + 45 = 0 0 + 5y = -45 + 45 + 7y 5y = -45 + 45 + 7y Combine like terms: -45 + 45 = 0 5y = 0 + 7y 5y = 7y Solving 5y = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 5y + -7y = 7y + -7y Combine like terms: 5y + -7y = -2y -2y = 7y + -7y Combine like terms: 7y + -7y = 0 -2y = 0 Divide each side by '-2'. y = 0 Simplifying y = 0
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