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Simplifying 10y + 13 = 6 + 3y Reorder the terms: 13 + 10y = 6 + 3y Solving 13 + 10y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 13 + 10y + -3y = 6 + 3y + -3y Combine like terms: 10y + -3y = 7y 13 + 7y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 13 + 7y = 6 + 0 13 + 7y = 6 Add '-13' to each side of the equation. 13 + -13 + 7y = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 7y = 6 + -13 7y = 6 + -13 Combine like terms: 6 + -13 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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