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Simplifying 5 + 6y = 2 + 3(1 + -1y) 5 + 6y = 2 + (1 * 3 + -1y * 3) 5 + 6y = 2 + (3 + -3y) Combine like terms: 2 + 3 = 5 5 + 6y = 5 + -3y Add '-5' to each side of the equation. 5 + -5 + 6y = 5 + -5 + -3y Combine like terms: 5 + -5 = 0 0 + 6y = 5 + -5 + -3y 6y = 5 + -5 + -3y Combine like terms: 5 + -5 = 0 6y = 0 + -3y 6y = -3y Solving 6y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 6y + 3y = -3y + 3y Combine like terms: 6y + 3y = 9y 9y = -3y + 3y Combine like terms: -3y + 3y = 0 9y = 0 Divide each side by '9'. y = 0 Simplifying y = 0
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