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Simplifying 11 + -1(y + 2) = 3y + 5 Reorder the terms: 11 + -1(2 + y) = 3y + 5 11 + (2 * -1 + y * -1) = 3y + 5 11 + (-2 + -1y) = 3y + 5 Combine like terms: 11 + -2 = 9 9 + -1y = 3y + 5 Reorder the terms: 9 + -1y = 5 + 3y Solving 9 + -1y = 5 + 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. 9 + -1y + -3y = 5 + 3y + -3y Combine like terms: -1y + -3y = -4y 9 + -4y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + -4y = 5 + 0 9 + -4y = 5 Add '-9' to each side of the equation. 9 + -9 + -4y = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 5 + -9 -4y = 5 + -9 Combine like terms: 5 + -9 = -4 -4y = -4 Divide each side by '-4'. y = 1 Simplifying y = 1
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