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Simplifying -5(2y + -6) + 2y = 6(y + 3) Reorder the terms: -5(-6 + 2y) + 2y = 6(y + 3) (-6 * -5 + 2y * -5) + 2y = 6(y + 3) (30 + -10y) + 2y = 6(y + 3) Combine like terms: -10y + 2y = -8y 30 + -8y = 6(y + 3) Reorder the terms: 30 + -8y = 6(3 + y) 30 + -8y = (3 * 6 + y * 6) 30 + -8y = (18 + 6y) Solving 30 + -8y = 18 + 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. 30 + -8y + -6y = 18 + 6y + -6y Combine like terms: -8y + -6y = -14y 30 + -14y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + -14y = 18 + 0 30 + -14y = 18 Add '-30' to each side of the equation. 30 + -30 + -14y = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -14y = 18 + -30 -14y = 18 + -30 Combine like terms: 18 + -30 = -12 -14y = -12 Divide each side by '-14'. y = 0.8571428571 Simplifying y = 0.8571428571
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