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Simplifying -3y + -1(5y + -2) = 3 + -6(3 + -1y) Reorder the terms: -3y + -1(-2 + 5y) = 3 + -6(3 + -1y) -3y + (-2 * -1 + 5y * -1) = 3 + -6(3 + -1y) -3y + (2 + -5y) = 3 + -6(3 + -1y) Reorder the terms: 2 + -3y + -5y = 3 + -6(3 + -1y) Combine like terms: -3y + -5y = -8y 2 + -8y = 3 + -6(3 + -1y) 2 + -8y = 3 + (3 * -6 + -1y * -6) 2 + -8y = 3 + (-18 + 6y) Combine like terms: 3 + -18 = -15 2 + -8y = -15 + 6y Solving 2 + -8y = -15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + -8y + -6y = -15 + 6y + -6y Combine like terms: -8y + -6y = -14y 2 + -14y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -14y = -15 + 0 2 + -14y = -15 Add '-2' to each side of the equation. 2 + -2 + -14y = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -14y = -15 + -2 -14y = -15 + -2 Combine like terms: -15 + -2 = -17 -14y = -17 Divide each side by '-14'. y = 1.214285714 Simplifying y = 1.214285714
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