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Simplifying 6 + -4(6y + -3) = -6(5y + -5) + 2 Reorder the terms: 6 + -4(-3 + 6y) = -6(5y + -5) + 2 6 + (-3 * -4 + 6y * -4) = -6(5y + -5) + 2 6 + (12 + -24y) = -6(5y + -5) + 2 Combine like terms: 6 + 12 = 18 18 + -24y = -6(5y + -5) + 2 Reorder the terms: 18 + -24y = -6(-5 + 5y) + 2 18 + -24y = (-5 * -6 + 5y * -6) + 2 18 + -24y = (30 + -30y) + 2 Reorder the terms: 18 + -24y = 30 + 2 + -30y Combine like terms: 30 + 2 = 32 18 + -24y = 32 + -30y Solving 18 + -24y = 32 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 18 + -24y + 30y = 32 + -30y + 30y Combine like terms: -24y + 30y = 6y 18 + 6y = 32 + -30y + 30y Combine like terms: -30y + 30y = 0 18 + 6y = 32 + 0 18 + 6y = 32 Add '-18' to each side of the equation. 18 + -18 + 6y = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 6y = 32 + -18 6y = 32 + -18 Combine like terms: 32 + -18 = 14 6y = 14 Divide each side by '6'. y = 2.333333333 Simplifying y = 2.333333333
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