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Simplifying 6y + 5(-7 + -3y) = 8 6y + (-7 * 5 + -3y * 5) = 8 6y + (-35 + -15y) = 8 Reorder the terms: -35 + 6y + -15y = 8 Combine like terms: 6y + -15y = -9y -35 + -9y = 8 Solving -35 + -9y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -9y = 8 + 35 Combine like terms: -35 + 35 = 0 0 + -9y = 8 + 35 -9y = 8 + 35 Combine like terms: 8 + 35 = 43 -9y = 43 Divide each side by '-9'. y = -4.777777778 Simplifying y = -4.777777778
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