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Simplifying 5y + 3 = 8y + 13 Reorder the terms: 3 + 5y = 8y + 13 Reorder the terms: 3 + 5y = 13 + 8y Solving 3 + 5y = 13 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 3 + 5y + -8y = 13 + 8y + -8y Combine like terms: 5y + -8y = -3y 3 + -3y = 13 + 8y + -8y Combine like terms: 8y + -8y = 0 3 + -3y = 13 + 0 3 + -3y = 13 Add '-3' to each side of the equation. 3 + -3 + -3y = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = 13 + -3 -3y = 13 + -3 Combine like terms: 13 + -3 = 10 -3y = 10 Divide each side by '-3'. y = -3.333333333 Simplifying y = -3.333333333
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