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Simplifying 11 + -2(5 + y) = 4(3 + y) + -1 11 + (5 * -2 + y * -2) = 4(3 + y) + -1 11 + (-10 + -2y) = 4(3 + y) + -1 Combine like terms: 11 + -10 = 1 1 + -2y = 4(3 + y) + -1 1 + -2y = (3 * 4 + y * 4) + -1 1 + -2y = (12 + 4y) + -1 Reorder the terms: 1 + -2y = 12 + -1 + 4y Combine like terms: 12 + -1 = 11 1 + -2y = 11 + 4y Solving 1 + -2y = 11 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 1 + -2y + -4y = 11 + 4y + -4y Combine like terms: -2y + -4y = -6y 1 + -6y = 11 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -6y = 11 + 0 1 + -6y = 11 Add '-1' to each side of the equation. 1 + -1 + -6y = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 11 + -1 -6y = 11 + -1 Combine like terms: 11 + -1 = 10 -6y = 10 Divide each side by '-6'. y = -1.666666667 Simplifying y = -1.666666667
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