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Simplifying 11(8 + -1y) + 3 = 3(y + -3) + -4 (8 * 11 + -1y * 11) + 3 = 3(y + -3) + -4 (88 + -11y) + 3 = 3(y + -3) + -4 Reorder the terms: 88 + 3 + -11y = 3(y + -3) + -4 Combine like terms: 88 + 3 = 91 91 + -11y = 3(y + -3) + -4 Reorder the terms: 91 + -11y = 3(-3 + y) + -4 91 + -11y = (-3 * 3 + y * 3) + -4 91 + -11y = (-9 + 3y) + -4 Reorder the terms: 91 + -11y = -9 + -4 + 3y Combine like terms: -9 + -4 = -13 91 + -11y = -13 + 3y Solving 91 + -11y = -13 + 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. 91 + -11y + -3y = -13 + 3y + -3y Combine like terms: -11y + -3y = -14y 91 + -14y = -13 + 3y + -3y Combine like terms: 3y + -3y = 0 91 + -14y = -13 + 0 91 + -14y = -13 Add '-91' to each side of the equation. 91 + -91 + -14y = -13 + -91 Combine like terms: 91 + -91 = 0 0 + -14y = -13 + -91 -14y = -13 + -91 Combine like terms: -13 + -91 = -104 -14y = -104 Divide each side by '-14'. y = 7.428571429 Simplifying y = 7.428571429
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