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Simplifying 4(3y + -1) = 2(2y + 3) Reorder the terms: 4(-1 + 3y) = 2(2y + 3) (-1 * 4 + 3y * 4) = 2(2y + 3) (-4 + 12y) = 2(2y + 3) Reorder the terms: -4 + 12y = 2(3 + 2y) -4 + 12y = (3 * 2 + 2y * 2) -4 + 12y = (6 + 4y) Solving -4 + 12y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -4 + 12y + -4y = 6 + 4y + -4y Combine like terms: 12y + -4y = 8y -4 + 8y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + 8y = 6 + 0 -4 + 8y = 6 Add '4' to each side of the equation. -4 + 4 + 8y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = 6 + 4 8y = 6 + 4 Combine like terms: 6 + 4 = 10 8y = 10 Divide each side by '8'. y = 1.25 Simplifying y = 1.25
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