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Simplifying 10y + -6 = 3(5 + y) Reorder the terms: -6 + 10y = 3(5 + y) -6 + 10y = (5 * 3 + y * 3) -6 + 10y = (15 + 3y) Solving -6 + 10y = 15 + 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. -6 + 10y + -3y = 15 + 3y + -3y Combine like terms: 10y + -3y = 7y -6 + 7y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 7y = 15 + 0 -6 + 7y = 15 Add '6' to each side of the equation. -6 + 6 + 7y = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 7y = 15 + 6 7y = 15 + 6 Combine like terms: 15 + 6 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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