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Simplifying 12 = 2(y + -2) + 6y Reorder the terms: 12 = 2(-2 + y) + 6y 12 = (-2 * 2 + y * 2) + 6y 12 = (-4 + 2y) + 6y Combine like terms: 2y + 6y = 8y 12 = -4 + 8y Solving 12 = -4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 12 + -8y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -8y = -4 + 0 12 + -8y = -4 Add '-12' to each side of the equation. 12 + -12 + -8y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = -4 + -12 -8y = -4 + -12 Combine like terms: -4 + -12 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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