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Simplifying 4 + -2(1 + 2y) + -3(2 + -3y) = 11 4 + (1 * -2 + 2y * -2) + -3(2 + -3y) = 11 4 + (-2 + -4y) + -3(2 + -3y) = 11 4 + -2 + -4y + (2 * -3 + -3y * -3) = 11 4 + -2 + -4y + (-6 + 9y) = 11 Reorder the terms: 4 + -2 + -6 + -4y + 9y = 11 Combine like terms: 4 + -2 = 2 2 + -6 + -4y + 9y = 11 Combine like terms: 2 + -6 = -4 -4 + -4y + 9y = 11 Combine like terms: -4y + 9y = 5y -4 + 5y = 11 Solving -4 + 5y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 11 + 4 5y = 11 + 4 Combine like terms: 11 + 4 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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