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Simplifying 4(3y + -1) = 6 + 7y Reorder the terms: 4(-1 + 3y) = 6 + 7y (-1 * 4 + 3y * 4) = 6 + 7y (-4 + 12y) = 6 + 7y Solving -4 + 12y = 6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -4 + 12y + -7y = 6 + 7y + -7y Combine like terms: 12y + -7y = 5y -4 + 5y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 -4 + 5y = 6 + 0 -4 + 5y = 6 Add '4' to each side of the equation. -4 + 4 + 5y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 6 + 4 5y = 6 + 4 Combine like terms: 6 + 4 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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