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Simplifying 13 + 5y = 8(y + -2) Reorder the terms: 13 + 5y = 8(-2 + y) 13 + 5y = (-2 * 8 + y * 8) 13 + 5y = (-16 + 8y) Solving 13 + 5y = -16 + 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 + 5y + -8y = -16 + 8y + -8y Combine like terms: 5y + -8y = -3y 13 + -3y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 13 + -3y = -16 + 0 13 + -3y = -16 Add '-13' to each side of the equation. 13 + -13 + -3y = -16 + -13 Combine like terms: 13 + -13 = 0 0 + -3y = -16 + -13 -3y = -16 + -13 Combine like terms: -16 + -13 = -29 -3y = -29 Divide each side by '-3'. y = 9.666666667 Simplifying y = 9.666666667
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