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Simplifying 1 + 11y = 2 + 4(2y + -7) Reorder the terms: 1 + 11y = 2 + 4(-7 + 2y) 1 + 11y = 2 + (-7 * 4 + 2y * 4) 1 + 11y = 2 + (-28 + 8y) Combine like terms: 2 + -28 = -26 1 + 11y = -26 + 8y Solving 1 + 11y = -26 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 1 + 11y + -8y = -26 + 8y + -8y Combine like terms: 11y + -8y = 3y 1 + 3y = -26 + 8y + -8y Combine like terms: 8y + -8y = 0 1 + 3y = -26 + 0 1 + 3y = -26 Add '-1' to each side of the equation. 1 + -1 + 3y = -26 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = -26 + -1 3y = -26 + -1 Combine like terms: -26 + -1 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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