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Simplifying 2 = 5(y + 2) + -7y Reorder the terms: 2 = 5(2 + y) + -7y 2 = (2 * 5 + y * 5) + -7y 2 = (10 + 5y) + -7y Combine like terms: 5y + -7y = -2y 2 = 10 + -2y Solving 2 = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 2 + 2y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + 2y = 10 + 0 2 + 2y = 10 Add '-2' to each side of the equation. 2 + -2 + 2y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 10 + -2 2y = 10 + -2 Combine like terms: 10 + -2 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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