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Simplifying 5(y + 2) + y = 2(y + 5) + 2 Reorder the terms: 5(2 + y) + y = 2(y + 5) + 2 (2 * 5 + y * 5) + y = 2(y + 5) + 2 (10 + 5y) + y = 2(y + 5) + 2 Combine like terms: 5y + y = 6y 10 + 6y = 2(y + 5) + 2 Reorder the terms: 10 + 6y = 2(5 + y) + 2 10 + 6y = (5 * 2 + y * 2) + 2 10 + 6y = (10 + 2y) + 2 Reorder the terms: 10 + 6y = 10 + 2 + 2y Combine like terms: 10 + 2 = 12 10 + 6y = 12 + 2y Solving 10 + 6y = 12 + 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 + 6y + -2y = 12 + 2y + -2y Combine like terms: 6y + -2y = 4y 10 + 4y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 4y = 12 + 0 10 + 4y = 12 Add '-10' to each side of the equation. 10 + -10 + 4y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = 12 + -10 4y = 12 + -10 Combine like terms: 12 + -10 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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