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Simplifying 13(y + 7) = 10y Reorder the terms: 13(7 + y) = 10y (7 * 13 + y * 13) = 10y (91 + 13y) = 10y Solving 91 + 13y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 91 + 13y + -10y = 10y + -10y Combine like terms: 13y + -10y = 3y 91 + 3y = 10y + -10y Combine like terms: 10y + -10y = 0 91 + 3y = 0 Add '-91' to each side of the equation. 91 + -91 + 3y = 0 + -91 Combine like terms: 91 + -91 = 0 0 + 3y = 0 + -91 3y = 0 + -91 Combine like terms: 0 + -91 = -91 3y = -91 Divide each side by '3'. y = -30.33333333 Simplifying y = -30.33333333
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