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Simplifying -11 + -1(2y + 1) = 2(y + 1) + 3y Reorder the terms: -11 + -1(1 + 2y) = 2(y + 1) + 3y -11 + (1 * -1 + 2y * -1) = 2(y + 1) + 3y -11 + (-1 + -2y) = 2(y + 1) + 3y Combine like terms: -11 + -1 = -12 -12 + -2y = 2(y + 1) + 3y Reorder the terms: -12 + -2y = 2(1 + y) + 3y -12 + -2y = (1 * 2 + y * 2) + 3y -12 + -2y = (2 + 2y) + 3y Combine like terms: 2y + 3y = 5y -12 + -2y = 2 + 5y Solving -12 + -2y = 2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + -2y + -5y = 2 + 5y + -5y Combine like terms: -2y + -5y = -7y -12 + -7y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -7y = 2 + 0 -12 + -7y = 2 Add '12' to each side of the equation. -12 + 12 + -7y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7y = 2 + 12 -7y = 2 + 12 Combine like terms: 2 + 12 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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