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Simplifying 7(y + -2) = 5(y + 4) Reorder the terms: 7(-2 + y) = 5(y + 4) (-2 * 7 + y * 7) = 5(y + 4) (-14 + 7y) = 5(y + 4) Reorder the terms: -14 + 7y = 5(4 + y) -14 + 7y = (4 * 5 + y * 5) -14 + 7y = (20 + 5y) Solving -14 + 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. -14 + 7y + -5y = 20 + 5y + -5y Combine like terms: 7y + -5y = 2y -14 + 2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -14 + 2y = 20 + 0 -14 + 2y = 20 Add '14' to each side of the equation. -14 + 14 + 2y = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 20 + 14 2y = 20 + 14 Combine like terms: 20 + 14 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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