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Simplifying 2 + -5(6y + -2) = 4(1 + -1y) Reorder the terms: 2 + -5(-2 + 6y) = 4(1 + -1y) 2 + (-2 * -5 + 6y * -5) = 4(1 + -1y) 2 + (10 + -30y) = 4(1 + -1y) Combine like terms: 2 + 10 = 12 12 + -30y = 4(1 + -1y) 12 + -30y = (1 * 4 + -1y * 4) 12 + -30y = (4 + -4y) Solving 12 + -30y = 4 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + -30y + 4y = 4 + -4y + 4y Combine like terms: -30y + 4y = -26y 12 + -26y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + -26y = 4 + 0 12 + -26y = 4 Add '-12' to each side of the equation. 12 + -12 + -26y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -26y = 4 + -12 -26y = 4 + -12 Combine like terms: 4 + -12 = -8 -26y = -8 Divide each side by '-26'. y = 0.3076923077 Simplifying y = 0.3076923077
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