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Simplifying 11(y + 5) + 7 = 2y + -6 Reorder the terms: 11(5 + y) + 7 = 2y + -6 (5 * 11 + y * 11) + 7 = 2y + -6 (55 + 11y) + 7 = 2y + -6 Reorder the terms: 55 + 7 + 11y = 2y + -6 Combine like terms: 55 + 7 = 62 62 + 11y = 2y + -6 Reorder the terms: 62 + 11y = -6 + 2y Solving 62 + 11y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 62 + 11y + -2y = -6 + 2y + -2y Combine like terms: 11y + -2y = 9y 62 + 9y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 62 + 9y = -6 + 0 62 + 9y = -6 Add '-62' to each side of the equation. 62 + -62 + 9y = -6 + -62 Combine like terms: 62 + -62 = 0 0 + 9y = -6 + -62 9y = -6 + -62 Combine like terms: -6 + -62 = -68 9y = -68 Divide each side by '9'. y = -7.555555556 Simplifying y = -7.555555556
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