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Simplifying 8y + (-5) + -5y + 13 + -3y = a 8y + -5 + -5y + 13 + -3y = a Reorder the terms: -5 + 13 + 8y + -5y + -3y = a Combine like terms: -5 + 13 = 8 8 + 8y + -5y + -3y = a Combine like terms: 8y + -5y = 3y 8 + 3y + -3y = a Combine like terms: 3y + -3y = 0 8 + 0 = a 8 = a Solving 8 = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + -1a = a + -1a Combine like terms: a + -1a = 0 8 + -1a = 0 Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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