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Simplifying 4(3y + -1) + 6 = 2(2y + 7) Reorder the terms: 4(-1 + 3y) + 6 = 2(2y + 7) (-1 * 4 + 3y * 4) + 6 = 2(2y + 7) (-4 + 12y) + 6 = 2(2y + 7) Reorder the terms: -4 + 6 + 12y = 2(2y + 7) Combine like terms: -4 + 6 = 2 2 + 12y = 2(2y + 7) Reorder the terms: 2 + 12y = 2(7 + 2y) 2 + 12y = (7 * 2 + 2y * 2) 2 + 12y = (14 + 4y) Solving 2 + 12y = 14 + 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. 2 + 12y + -4y = 14 + 4y + -4y Combine like terms: 12y + -4y = 8y 2 + 8y = 14 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 8y = 14 + 0 2 + 8y = 14 Add '-2' to each side of the equation. 2 + -2 + 8y = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = 14 + -2 8y = 14 + -2 Combine like terms: 14 + -2 = 12 8y = 12 Divide each side by '8'. y = 1.5 Simplifying y = 1.5
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