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Simplifying 5 + -2(2 + -3y) = 6 + 2y + -1(5 + y) 5 + (2 * -2 + -3y * -2) = 6 + 2y + -1(5 + y) 5 + (-4 + 6y) = 6 + 2y + -1(5 + y) Combine like terms: 5 + -4 = 1 1 + 6y = 6 + 2y + -1(5 + y) 1 + 6y = 6 + 2y + (5 * -1 + y * -1) 1 + 6y = 6 + 2y + (-5 + -1y) Reorder the terms: 1 + 6y = 6 + -5 + 2y + -1y Combine like terms: 6 + -5 = 1 1 + 6y = 1 + 2y + -1y Combine like terms: 2y + -1y = 1y 1 + 6y = 1 + 1y Add '-1' to each side of the equation. 1 + -1 + 6y = 1 + -1 + 1y Combine like terms: 1 + -1 = 0 0 + 6y = 1 + -1 + 1y 6y = 1 + -1 + 1y Combine like terms: 1 + -1 = 0 6y = 0 + 1y 6y = 1y Solving 6y = 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 6y + -1y = 1y + -1y Combine like terms: 6y + -1y = 5y 5y = 1y + -1y Combine like terms: 1y + -1y = 0 5y = 0 Divide each side by '5'. y = 0 Simplifying y = 0
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