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Simplifying 12 + 4y = 5(y + 2) + -6 Reorder the terms: 12 + 4y = 5(2 + y) + -6 12 + 4y = (2 * 5 + y * 5) + -6 12 + 4y = (10 + 5y) + -6 Reorder the terms: 12 + 4y = 10 + -6 + 5y Combine like terms: 10 + -6 = 4 12 + 4y = 4 + 5y Solving 12 + 4y = 4 + 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. 12 + 4y + -5y = 4 + 5y + -5y Combine like terms: 4y + -5y = -1y 12 + -1y = 4 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -1y = 4 + 0 12 + -1y = 4 Add '-12' to each side of the equation. 12 + -12 + -1y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 4 + -12 -1y = 4 + -12 Combine like terms: 4 + -12 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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