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Simplifying 5(y + 2) = 2(y + 3) + 7 Reorder the terms: 5(2 + y) = 2(y + 3) + 7 (2 * 5 + y * 5) = 2(y + 3) + 7 (10 + 5y) = 2(y + 3) + 7 Reorder the terms: 10 + 5y = 2(3 + y) + 7 10 + 5y = (3 * 2 + y * 2) + 7 10 + 5y = (6 + 2y) + 7 Reorder the terms: 10 + 5y = 6 + 7 + 2y Combine like terms: 6 + 7 = 13 10 + 5y = 13 + 2y Solving 10 + 5y = 13 + 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. 10 + 5y + -2y = 13 + 2y + -2y Combine like terms: 5y + -2y = 3y 10 + 3y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 3y = 13 + 0 10 + 3y = 13 Add '-10' to each side of the equation. 10 + -10 + 3y = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 3y = 13 + -10 3y = 13 + -10 Combine like terms: 13 + -10 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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