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Simplifying 4y + 12 = 3 + -1(2y + -4x) Reorder the terms: 12 + 4y = 3 + -1(2y + -4x) Reorder the terms: 12 + 4y = 3 + -1(-4x + 2y) 12 + 4y = 3 + (-4x * -1 + 2y * -1) 12 + 4y = 3 + (4x + -2y) Solving 12 + 4y = 3 + 4x + -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 = 3 + 4x + -2y + 2y Combine like terms: 4y + 2y = 6y 12 + 6y = 3 + 4x + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 6y = 3 + 4x + 0 12 + 6y = 3 + 4x Add '-12' to each side of the equation. 12 + -12 + 6y = 3 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + 6y = 3 + -12 + 4x 6y = 3 + -12 + 4x Combine like terms: 3 + -12 = -9 6y = -9 + 4x Divide each side by '6'. y = -1.5 + 0.6666666667x Simplifying y = -1.5 + 0.6666666667x
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