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Simplifying -82 + 9y + 7 = 3(5y + -5) + -6 Reorder the terms: -82 + 7 + 9y = 3(5y + -5) + -6 Combine like terms: -82 + 7 = -75 -75 + 9y = 3(5y + -5) + -6 Reorder the terms: -75 + 9y = 3(-5 + 5y) + -6 -75 + 9y = (-5 * 3 + 5y * 3) + -6 -75 + 9y = (-15 + 15y) + -6 Reorder the terms: -75 + 9y = -15 + -6 + 15y Combine like terms: -15 + -6 = -21 -75 + 9y = -21 + 15y Solving -75 + 9y = -21 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -75 + 9y + -15y = -21 + 15y + -15y Combine like terms: 9y + -15y = -6y -75 + -6y = -21 + 15y + -15y Combine like terms: 15y + -15y = 0 -75 + -6y = -21 + 0 -75 + -6y = -21 Add '75' to each side of the equation. -75 + 75 + -6y = -21 + 75 Combine like terms: -75 + 75 = 0 0 + -6y = -21 + 75 -6y = -21 + 75 Combine like terms: -21 + 75 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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