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Simplifying -5y + -5(6y + -8) = -2 + 6(-3 + -1y) Reorder the terms: -5y + -5(-8 + 6y) = -2 + 6(-3 + -1y) -5y + (-8 * -5 + 6y * -5) = -2 + 6(-3 + -1y) -5y + (40 + -30y) = -2 + 6(-3 + -1y) Reorder the terms: 40 + -5y + -30y = -2 + 6(-3 + -1y) Combine like terms: -5y + -30y = -35y 40 + -35y = -2 + 6(-3 + -1y) 40 + -35y = -2 + (-3 * 6 + -1y * 6) 40 + -35y = -2 + (-18 + -6y) Combine like terms: -2 + -18 = -20 40 + -35y = -20 + -6y Solving 40 + -35y = -20 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 40 + -35y + 6y = -20 + -6y + 6y Combine like terms: -35y + 6y = -29y 40 + -29y = -20 + -6y + 6y Combine like terms: -6y + 6y = 0 40 + -29y = -20 + 0 40 + -29y = -20 Add '-40' to each side of the equation. 40 + -40 + -29y = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -29y = -20 + -40 -29y = -20 + -40 Combine like terms: -20 + -40 = -60 -29y = -60 Divide each side by '-29'. y = 2.068965517 Simplifying y = 2.068965517
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