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Simplifying 10y + -2 = 2(y + 5) + 6y Reorder the terms: -2 + 10y = 2(y + 5) + 6y Reorder the terms: -2 + 10y = 2(5 + y) + 6y -2 + 10y = (5 * 2 + y * 2) + 6y -2 + 10y = (10 + 2y) + 6y Combine like terms: 2y + 6y = 8y -2 + 10y = 10 + 8y Solving -2 + 10y = 10 + 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. -2 + 10y + -8y = 10 + 8y + -8y Combine like terms: 10y + -8y = 2y -2 + 2y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + 2y = 10 + 0 -2 + 2y = 10 Add '2' to each side of the equation. -2 + 2 + 2y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 10 + 2 2y = 10 + 2 Combine like terms: 10 + 2 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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