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Simplifying 6 + -2(3y + -1) = -13y + -2(6 + -1y) Reorder the terms: 6 + -2(-1 + 3y) = -13y + -2(6 + -1y) 6 + (-1 * -2 + 3y * -2) = -13y + -2(6 + -1y) 6 + (2 + -6y) = -13y + -2(6 + -1y) Combine like terms: 6 + 2 = 8 8 + -6y = -13y + -2(6 + -1y) 8 + -6y = -13y + (6 * -2 + -1y * -2) 8 + -6y = -13y + (-12 + 2y) Reorder the terms: 8 + -6y = -12 + -13y + 2y Combine like terms: -13y + 2y = -11y 8 + -6y = -12 + -11y Solving 8 + -6y = -12 + -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. 8 + -6y + 11y = -12 + -11y + 11y Combine like terms: -6y + 11y = 5y 8 + 5y = -12 + -11y + 11y Combine like terms: -11y + 11y = 0 8 + 5y = -12 + 0 8 + 5y = -12 Add '-8' to each side of the equation. 8 + -8 + 5y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = -12 + -8 5y = -12 + -8 Combine like terms: -12 + -8 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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