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