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Simplifying 8(10 + -1y) + 11 = -11(y + -2) + -3 (10 * 8 + -1y * 8) + 11 = -11(y + -2) + -3 (80 + -8y) + 11 = -11(y + -2) + -3 Reorder the terms: 80 + 11 + -8y = -11(y + -2) + -3 Combine like terms: 80 + 11 = 91 91 + -8y = -11(y + -2) + -3 Reorder the terms: 91 + -8y = -11(-2 + y) + -3 91 + -8y = (-2 * -11 + y * -11) + -3 91 + -8y = (22 + -11y) + -3 Reorder the terms: 91 + -8y = 22 + -3 + -11y Combine like terms: 22 + -3 = 19 91 + -8y = 19 + -11y Solving 91 + -8y = 19 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 91 + -8y + 11y = 19 + -11y + 11y Combine like terms: -8y + 11y = 3y 91 + 3y = 19 + -11y + 11y Combine like terms: -11y + 11y = 0 91 + 3y = 19 + 0 91 + 3y = 19 Add '-91' to each side of the equation. 91 + -91 + 3y = 19 + -91 Combine like terms: 91 + -91 = 0 0 + 3y = 19 + -91 3y = 19 + -91 Combine like terms: 19 + -91 = -72 3y = -72 Divide each side by '3'. y = -24 Simplifying y = -24
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