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Simplifying 2(5 + 2y) = 4y + -1(6 + -9y) (5 * 2 + 2y * 2) = 4y + -1(6 + -9y) (10 + 4y) = 4y + -1(6 + -9y) 10 + 4y = 4y + (6 * -1 + -9y * -1) 10 + 4y = 4y + (-6 + 9y) Reorder the terms: 10 + 4y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 10 + 4y = -6 + 13y Solving 10 + 4y = -6 + 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. 10 + 4y + -13y = -6 + 13y + -13y Combine like terms: 4y + -13y = -9y 10 + -9y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 10 + -9y = -6 + 0 10 + -9y = -6 Add '-10' to each side of the equation. 10 + -10 + -9y = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -9y = -6 + -10 -9y = -6 + -10 Combine like terms: -6 + -10 = -16 -9y = -16 Divide each side by '-9'. y = 1.777777778 Simplifying y = 1.777777778
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