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Simplifying 5(y + 2) + y = 4(y + 2) + 2 Reorder the terms: 5(2 + y) + y = 4(y + 2) + 2 (2 * 5 + y * 5) + y = 4(y + 2) + 2 (10 + 5y) + y = 4(y + 2) + 2 Combine like terms: 5y + y = 6y 10 + 6y = 4(y + 2) + 2 Reorder the terms: 10 + 6y = 4(2 + y) + 2 10 + 6y = (2 * 4 + y * 4) + 2 10 + 6y = (8 + 4y) + 2 Reorder the terms: 10 + 6y = 8 + 2 + 4y Combine like terms: 8 + 2 = 10 10 + 6y = 10 + 4y Add '-10' to each side of the equation. 10 + -10 + 6y = 10 + -10 + 4y Combine like terms: 10 + -10 = 0 0 + 6y = 10 + -10 + 4y 6y = 10 + -10 + 4y Combine like terms: 10 + -10 = 0 6y = 0 + 4y 6y = 4y Solving 6y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 6y + -4y = 4y + -4y Combine like terms: 6y + -4y = 2y 2y = 4y + -4y Combine like terms: 4y + -4y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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