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Simplifying 3(5y + 2) = 6(y + -4) Reorder the terms: 3(2 + 5y) = 6(y + -4) (2 * 3 + 5y * 3) = 6(y + -4) (6 + 15y) = 6(y + -4) Reorder the terms: 6 + 15y = 6(-4 + y) 6 + 15y = (-4 * 6 + y * 6) 6 + 15y = (-24 + 6y) Solving 6 + 15y = -24 + 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. 6 + 15y + -6y = -24 + 6y + -6y Combine like terms: 15y + -6y = 9y 6 + 9y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + 9y = -24 + 0 6 + 9y = -24 Add '-6' to each side of the equation. 6 + -6 + 9y = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 9y = -24 + -6 9y = -24 + -6 Combine like terms: -24 + -6 = -30 9y = -30 Divide each side by '9'. y = -3.333333333 Simplifying y = -3.333333333
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