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Simplifying 5y + -8 = 2y + 13 Reorder the terms: -8 + 5y = 2y + 13 Reorder the terms: -8 + 5y = 13 + 2y Solving -8 + 5y = 13 + 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. -8 + 5y + -2y = 13 + 2y + -2y Combine like terms: 5y + -2y = 3y -8 + 3y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + 3y = 13 + 0 -8 + 3y = 13 Add '8' to each side of the equation. -8 + 8 + 3y = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 13 + 8 3y = 13 + 8 Combine like terms: 13 + 8 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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