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Simplifying 4(3 + -1y) = 2y (3 * 4 + -1y * 4) = 2y (12 + -4y) = 2y Solving 12 + -4y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + -4y + -2y = 2y + -2y Combine like terms: -4y + -2y = -6y 12 + -6y = 2y + -2y Combine like terms: 2y + -2y = 0 12 + -6y = 0 Add '-12' to each side of the equation. 12 + -12 + -6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 0 + -12 -6y = 0 + -12 Combine like terms: 0 + -12 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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