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Simplifying 3y + 12 + -10 = 66 + -5y Reorder the terms: 12 + -10 + 3y = 66 + -5y Combine like terms: 12 + -10 = 2 2 + 3y = 66 + -5y Solving 2 + 3y = 66 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 2 + 3y + 5y = 66 + -5y + 5y Combine like terms: 3y + 5y = 8y 2 + 8y = 66 + -5y + 5y Combine like terms: -5y + 5y = 0 2 + 8y = 66 + 0 2 + 8y = 66 Add '-2' to each side of the equation. 2 + -2 + 8y = 66 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = 66 + -2 8y = 66 + -2 Combine like terms: 66 + -2 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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