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Simplifying (2y + -2) + -1(3y + -11) = 3y + -11 Reorder the terms: (-2 + 2y) + -1(3y + -11) = 3y + -11 Remove parenthesis around (-2 + 2y) -2 + 2y + -1(3y + -11) = 3y + -11 Reorder the terms: -2 + 2y + -1(-11 + 3y) = 3y + -11 -2 + 2y + (-11 * -1 + 3y * -1) = 3y + -11 -2 + 2y + (11 + -3y) = 3y + -11 Reorder the terms: -2 + 11 + 2y + -3y = 3y + -11 Combine like terms: -2 + 11 = 9 9 + 2y + -3y = 3y + -11 Combine like terms: 2y + -3y = -1y 9 + -1y = 3y + -11 Reorder the terms: 9 + -1y = -11 + 3y Solving 9 + -1y = -11 + 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 = -11 + 3y + -3y Combine like terms: -1y + -3y = -4y 9 + -4y = -11 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + -4y = -11 + 0 9 + -4y = -11 Add '-9' to each side of the equation. 9 + -9 + -4y = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = -11 + -9 -4y = -11 + -9 Combine like terms: -11 + -9 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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