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Simplifying 3(y + 6) = -2(6y + -1) + y Reorder the terms: 3(6 + y) = -2(6y + -1) + y (6 * 3 + y * 3) = -2(6y + -1) + y (18 + 3y) = -2(6y + -1) + y Reorder the terms: 18 + 3y = -2(-1 + 6y) + y 18 + 3y = (-1 * -2 + 6y * -2) + y 18 + 3y = (2 + -12y) + y Combine like terms: -12y + y = -11y 18 + 3y = 2 + -11y Solving 18 + 3y = 2 + -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. 18 + 3y + 11y = 2 + -11y + 11y Combine like terms: 3y + 11y = 14y 18 + 14y = 2 + -11y + 11y Combine like terms: -11y + 11y = 0 18 + 14y = 2 + 0 18 + 14y = 2 Add '-18' to each side of the equation. 18 + -18 + 14y = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 14y = 2 + -18 14y = 2 + -18 Combine like terms: 2 + -18 = -16 14y = -16 Divide each side by '14'. y = -1.142857143 Simplifying y = -1.142857143
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