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