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Simplifying 2 + -5(-6y + -2) = -2(-4y + -3) + -3 Reorder the terms: 2 + -5(-2 + -6y) = -2(-4y + -3) + -3 2 + (-2 * -5 + -6y * -5) = -2(-4y + -3) + -3 2 + (10 + 30y) = -2(-4y + -3) + -3 Combine like terms: 2 + 10 = 12 12 + 30y = -2(-4y + -3) + -3 Reorder the terms: 12 + 30y = -2(-3 + -4y) + -3 12 + 30y = (-3 * -2 + -4y * -2) + -3 12 + 30y = (6 + 8y) + -3 Reorder the terms: 12 + 30y = 6 + -3 + 8y Combine like terms: 6 + -3 = 3 12 + 30y = 3 + 8y Solving 12 + 30y = 3 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 12 + 30y + -8y = 3 + 8y + -8y Combine like terms: 30y + -8y = 22y 12 + 22y = 3 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + 22y = 3 + 0 12 + 22y = 3 Add '-12' to each side of the equation. 12 + -12 + 22y = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 22y = 3 + -12 22y = 3 + -12 Combine like terms: 3 + -12 = -9 22y = -9 Divide each side by '22'. y = -0.4090909091 Simplifying y = -0.4090909091
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