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Simplifying 4y + 6 = 7y + -21 Reorder the terms: 6 + 4y = 7y + -21 Reorder the terms: 6 + 4y = -21 + 7y Solving 6 + 4y = -21 + 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. 6 + 4y + -7y = -21 + 7y + -7y Combine like terms: 4y + -7y = -3y 6 + -3y = -21 + 7y + -7y Combine like terms: 7y + -7y = 0 6 + -3y = -21 + 0 6 + -3y = -21 Add '-6' to each side of the equation. 6 + -6 + -3y = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = -21 + -6 -3y = -21 + -6 Combine like terms: -21 + -6 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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