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Simplifying 2 + -4(y + -4) = 5y + -6 Reorder the terms: 2 + -4(-4 + y) = 5y + -6 2 + (-4 * -4 + y * -4) = 5y + -6 2 + (16 + -4y) = 5y + -6 Combine like terms: 2 + 16 = 18 18 + -4y = 5y + -6 Reorder the terms: 18 + -4y = -6 + 5y Solving 18 + -4y = -6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + -4y + -5y = -6 + 5y + -5y Combine like terms: -4y + -5y = -9y 18 + -9y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -9y = -6 + 0 18 + -9y = -6 Add '-18' to each side of the equation. 18 + -18 + -9y = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -9y = -6 + -18 -9y = -6 + -18 Combine like terms: -6 + -18 = -24 -9y = -24 Divide each side by '-9'. y = 2.666666667 Simplifying y = 2.666666667
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