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Simplifying 5y + -1(6 + -3y) = 8 + -1(-6 + -3y) 5y + (6 * -1 + -3y * -1) = 8 + -1(-6 + -3y) 5y + (-6 + 3y) = 8 + -1(-6 + -3y) Reorder the terms: -6 + 5y + 3y = 8 + -1(-6 + -3y) Combine like terms: 5y + 3y = 8y -6 + 8y = 8 + -1(-6 + -3y) -6 + 8y = 8 + (-6 * -1 + -3y * -1) -6 + 8y = 8 + (6 + 3y) Combine like terms: 8 + 6 = 14 -6 + 8y = 14 + 3y Solving -6 + 8y = 14 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -6 + 8y + -3y = 14 + 3y + -3y Combine like terms: 8y + -3y = 5y -6 + 5y = 14 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 5y = 14 + 0 -6 + 5y = 14 Add '6' to each side of the equation. -6 + 6 + 5y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 14 + 6 5y = 14 + 6 Combine like terms: 14 + 6 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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