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Simplifying 4(y + 6) = 7y Reorder the terms: 4(6 + y) = 7y (6 * 4 + y * 4) = 7y (24 + 4y) = 7y Solving 24 + 4y = 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. 24 + 4y + -7y = 7y + -7y Combine like terms: 4y + -7y = -3y 24 + -3y = 7y + -7y Combine like terms: 7y + -7y = 0 24 + -3y = 0 Add '-24' to each side of the equation. 24 + -24 + -3y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3y = 0 + -24 -3y = 0 + -24 Combine like terms: 0 + -24 = -24 -3y = -24 Divide each side by '-3'. y = 8 Simplifying y = 8
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