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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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