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Simplifying 7y + -22 = 3(y + 6) Reorder the terms: -22 + 7y = 3(y + 6) Reorder the terms: -22 + 7y = 3(6 + y) -22 + 7y = (6 * 3 + y * 3) -22 + 7y = (18 + 3y) Solving -22 + 7y = 18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -22 + 7y + -3y = 18 + 3y + -3y Combine like terms: 7y + -3y = 4y -22 + 4y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 -22 + 4y = 18 + 0 -22 + 4y = 18 Add '22' to each side of the equation. -22 + 22 + 4y = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 4y = 18 + 22 4y = 18 + 22 Combine like terms: 18 + 22 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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