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Simplifying 5y + -3(2 + -1y) = 2y + -8 5y + (2 * -3 + -1y * -3) = 2y + -8 5y + (-6 + 3y) = 2y + -8 Reorder the terms: -6 + 5y + 3y = 2y + -8 Combine like terms: 5y + 3y = 8y -6 + 8y = 2y + -8 Reorder the terms: -6 + 8y = -8 + 2y Solving -6 + 8y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + 8y + -2y = -8 + 2y + -2y Combine like terms: 8y + -2y = 6y -6 + 6y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 6y = -8 + 0 -6 + 6y = -8 Add '6' to each side of the equation. -6 + 6 + 6y = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = -8 + 6 6y = -8 + 6 Combine like terms: -8 + 6 = -2 6y = -2 Divide each side by '6'. y = -0.3333333333 Simplifying y = -0.3333333333
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