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Simplifying 5y + -8y + -14 + 6 = -21 + 2w + -5w Reorder the terms: -14 + 6 + 5y + -8y = -21 + 2w + -5w Combine like terms: -14 + 6 = -8 -8 + 5y + -8y = -21 + 2w + -5w Combine like terms: 5y + -8y = -3y -8 + -3y = -21 + 2w + -5w Combine like terms: 2w + -5w = -3w -8 + -3y = -21 + -3w Solving -8 + -3y = -21 + -3w Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3y = -21 + 8 + -3w Combine like terms: -8 + 8 = 0 0 + -3y = -21 + 8 + -3w -3y = -21 + 8 + -3w Combine like terms: -21 + 8 = -13 -3y = -13 + -3w Divide each side by '-3'. y = 4.333333333 + w Simplifying y = 4.333333333 + w
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