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Simplifying 5y + -11 = 13 + (y + 8) Reorder the terms: -11 + 5y = 13 + (y + 8) Reorder the terms: -11 + 5y = 13 + (8 + y) Remove parenthesis around (8 + y) -11 + 5y = 13 + 8 + y Combine like terms: 13 + 8 = 21 -11 + 5y = 21 + y Solving -11 + 5y = 21 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -11 + 5y + -1y = 21 + y + -1y Combine like terms: 5y + -1y = 4y -11 + 4y = 21 + y + -1y Combine like terms: y + -1y = 0 -11 + 4y = 21 + 0 -11 + 4y = 21 Add '11' to each side of the equation. -11 + 11 + 4y = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 4y = 21 + 11 4y = 21 + 11 Combine like terms: 21 + 11 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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