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