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Simplifying 4y + 2 = 4(1 + -3y) Reorder the terms: 2 + 4y = 4(1 + -3y) 2 + 4y = (1 * 4 + -3y * 4) 2 + 4y = (4 + -12y) Solving 2 + 4y = 4 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 2 + 4y + 12y = 4 + -12y + 12y Combine like terms: 4y + 12y = 16y 2 + 16y = 4 + -12y + 12y Combine like terms: -12y + 12y = 0 2 + 16y = 4 + 0 2 + 16y = 4 Add '-2' to each side of the equation. 2 + -2 + 16y = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 16y = 4 + -2 16y = 4 + -2 Combine like terms: 4 + -2 = 2 16y = 2 Divide each side by '16'. y = 0.125 Simplifying y = 0.125
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