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Simplifying 8y + 4(2 + -1y) = 3(y + -6) + 10y 8y + (2 * 4 + -1y * 4) = 3(y + -6) + 10y 8y + (8 + -4y) = 3(y + -6) + 10y Reorder the terms: 8 + 8y + -4y = 3(y + -6) + 10y Combine like terms: 8y + -4y = 4y 8 + 4y = 3(y + -6) + 10y Reorder the terms: 8 + 4y = 3(-6 + y) + 10y 8 + 4y = (-6 * 3 + y * 3) + 10y 8 + 4y = (-18 + 3y) + 10y Combine like terms: 3y + 10y = 13y 8 + 4y = -18 + 13y Solving 8 + 4y = -18 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 8 + 4y + -13y = -18 + 13y + -13y Combine like terms: 4y + -13y = -9y 8 + -9y = -18 + 13y + -13y Combine like terms: 13y + -13y = 0 8 + -9y = -18 + 0 8 + -9y = -18 Add '-8' to each side of the equation. 8 + -8 + -9y = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = -18 + -8 -9y = -18 + -8 Combine like terms: -18 + -8 = -26 -9y = -26 Divide each side by '-9'. y = 2.888888889 Simplifying y = 2.888888889
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