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Simplifying 7y + 2 = 4(y + 5) Reorder the terms: 2 + 7y = 4(y + 5) Reorder the terms: 2 + 7y = 4(5 + y) 2 + 7y = (5 * 4 + y * 4) 2 + 7y = (20 + 4y) Solving 2 + 7y = 20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + 7y + -4y = 20 + 4y + -4y Combine like terms: 7y + -4y = 3y 2 + 3y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 3y = 20 + 0 2 + 3y = 20 Add '-2' to each side of the equation. 2 + -2 + 3y = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 20 + -2 3y = 20 + -2 Combine like terms: 20 + -2 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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