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Simplifying 5y + 2 + -12 = 4y + 4 + -2 Reorder the terms: 2 + -12 + 5y = 4y + 4 + -2 Combine like terms: 2 + -12 = -10 -10 + 5y = 4y + 4 + -2 Reorder the terms: -10 + 5y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -10 + 5y = 2 + 4y Solving -10 + 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. -10 + 5y + -4y = 2 + 4y + -4y Combine like terms: 5y + -4y = 1y -10 + 1y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 1y = 2 + 0 -10 + 1y = 2 Add '10' to each side of the equation. -10 + 10 + 1y = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 2 + 10 1y = 2 + 10 Combine like terms: 2 + 10 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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