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Simplifying 7(y + -7) = 5(y + 4) Reorder the terms: 7(-7 + y) = 5(y + 4) (-7 * 7 + y * 7) = 5(y + 4) (-49 + 7y) = 5(y + 4) Reorder the terms: -49 + 7y = 5(4 + y) -49 + 7y = (4 * 5 + y * 5) -49 + 7y = (20 + 5y) Solving -49 + 7y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -49 + 7y + -5y = 20 + 5y + -5y Combine like terms: 7y + -5y = 2y -49 + 2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -49 + 2y = 20 + 0 -49 + 2y = 20 Add '49' to each side of the equation. -49 + 49 + 2y = 20 + 49 Combine like terms: -49 + 49 = 0 0 + 2y = 20 + 49 2y = 20 + 49 Combine like terms: 20 + 49 = 69 2y = 69 Divide each side by '2'. y = 34.5 Simplifying y = 34.5
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