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Simplifying 4(3y + -4) = 6 + 7y Reorder the terms: 4(-4 + 3y) = 6 + 7y (-4 * 4 + 3y * 4) = 6 + 7y (-16 + 12y) = 6 + 7y Solving -16 + 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. -16 + 12y + -7y = 6 + 7y + -7y Combine like terms: 12y + -7y = 5y -16 + 5y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 -16 + 5y = 6 + 0 -16 + 5y = 6 Add '16' to each side of the equation. -16 + 16 + 5y = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 5y = 6 + 16 5y = 6 + 16 Combine like terms: 6 + 16 = 22 5y = 22 Divide each side by '5'. y = 4.4 Simplifying y = 4.4
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