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Simplifying 13 = 3(y + 7) + 5y Reorder the terms: 13 = 3(7 + y) + 5y 13 = (7 * 3 + y * 3) + 5y 13 = (21 + 3y) + 5y Combine like terms: 3y + 5y = 8y 13 = 21 + 8y Solving 13 = 21 + 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. 13 + -8y = 21 + 8y + -8y Combine like terms: 8y + -8y = 0 13 + -8y = 21 + 0 13 + -8y = 21 Add '-13' to each side of the equation. 13 + -13 + -8y = 21 + -13 Combine like terms: 13 + -13 = 0 0 + -8y = 21 + -13 -8y = 21 + -13 Combine like terms: 21 + -13 = 8 -8y = 8 Divide each side by '-8'. y = -1 Simplifying y = -1
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