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Simplifying 15(y + 3) = 6(y + -5) Reorder the terms: 15(3 + y) = 6(y + -5) (3 * 15 + y * 15) = 6(y + -5) (45 + 15y) = 6(y + -5) Reorder the terms: 45 + 15y = 6(-5 + y) 45 + 15y = (-5 * 6 + y * 6) 45 + 15y = (-30 + 6y) Solving 45 + 15y = -30 + 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. 45 + 15y + -6y = -30 + 6y + -6y Combine like terms: 15y + -6y = 9y 45 + 9y = -30 + 6y + -6y Combine like terms: 6y + -6y = 0 45 + 9y = -30 + 0 45 + 9y = -30 Add '-45' to each side of the equation. 45 + -45 + 9y = -30 + -45 Combine like terms: 45 + -45 = 0 0 + 9y = -30 + -45 9y = -30 + -45 Combine like terms: -30 + -45 = -75 9y = -75 Divide each side by '9'. y = -8.333333333 Simplifying y = -8.333333333
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