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Simplifying 10y + 12 + -5y = 8y + 2 + -4y Reorder the terms: 12 + 10y + -5y = 8y + 2 + -4y Combine like terms: 10y + -5y = 5y 12 + 5y = 8y + 2 + -4y Reorder the terms: 12 + 5y = 2 + 8y + -4y Combine like terms: 8y + -4y = 4y 12 + 5y = 2 + 4y Solving 12 + 5y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + 5y + -4y = 2 + 4y + -4y Combine like terms: 5y + -4y = 1y 12 + 1y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + 1y = 2 + 0 12 + 1y = 2 Add '-12' to each side of the equation. 12 + -12 + 1y = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 2 + -12 1y = 2 + -12 Combine like terms: 2 + -12 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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