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Simplifying 5(y + -7) = 3(y + 7) Reorder the terms: 5(-7 + y) = 3(y + 7) (-7 * 5 + y * 5) = 3(y + 7) (-35 + 5y) = 3(y + 7) Reorder the terms: -35 + 5y = 3(7 + y) -35 + 5y = (7 * 3 + y * 3) -35 + 5y = (21 + 3y) Solving -35 + 5y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -35 + 5y + -3y = 21 + 3y + -3y Combine like terms: 5y + -3y = 2y -35 + 2y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 -35 + 2y = 21 + 0 -35 + 2y = 21 Add '35' to each side of the equation. -35 + 35 + 2y = 21 + 35 Combine like terms: -35 + 35 = 0 0 + 2y = 21 + 35 2y = 21 + 35 Combine like terms: 21 + 35 = 56 2y = 56 Divide each side by '2'. y = 28 Simplifying y = 28
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