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Simplifying 8y + 10 + -3y = 3y + 12 + 6 Reorder the terms: 10 + 8y + -3y = 3y + 12 + 6 Combine like terms: 8y + -3y = 5y 10 + 5y = 3y + 12 + 6 Reorder the terms: 10 + 5y = 12 + 6 + 3y Combine like terms: 12 + 6 = 18 10 + 5y = 18 + 3y Solving 10 + 5y = 18 + 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. 10 + 5y + -3y = 18 + 3y + -3y Combine like terms: 5y + -3y = 2y 10 + 2y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 2y = 18 + 0 10 + 2y = 18 Add '-10' to each side of the equation. 10 + -10 + 2y = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = 18 + -10 2y = 18 + -10 Combine like terms: 18 + -10 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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