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Simplifying 7(y + 5) + -4(2y + -5) = 55 Reorder the terms: 7(5 + y) + -4(2y + -5) = 55 (5 * 7 + y * 7) + -4(2y + -5) = 55 (35 + 7y) + -4(2y + -5) = 55 Reorder the terms: 35 + 7y + -4(-5 + 2y) = 55 35 + 7y + (-5 * -4 + 2y * -4) = 55 35 + 7y + (20 + -8y) = 55 Reorder the terms: 35 + 20 + 7y + -8y = 55 Combine like terms: 35 + 20 = 55 55 + 7y + -8y = 55 Combine like terms: 7y + -8y = -1y 55 + -1y = 55 Add '-55' to each side of the equation. 55 + -55 + -1y = 55 + -55 Combine like terms: 55 + -55 = 0 0 + -1y = 55 + -55 -1y = 55 + -55 Combine like terms: 55 + -55 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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