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Simplifying 4(y + 3) = 7y + 9 Reorder the terms: 4(3 + y) = 7y + 9 (3 * 4 + y * 4) = 7y + 9 (12 + 4y) = 7y + 9 Reorder the terms: 12 + 4y = 9 + 7y Solving 12 + 4y = 9 + 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. 12 + 4y + -7y = 9 + 7y + -7y Combine like terms: 4y + -7y = -3y 12 + -3y = 9 + 7y + -7y Combine like terms: 7y + -7y = 0 12 + -3y = 9 + 0 12 + -3y = 9 Add '-12' to each side of the equation. 12 + -12 + -3y = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 9 + -12 -3y = 9 + -12 Combine like terms: 9 + -12 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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