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Simplifying 3y + 49 = 7(y + 3) Reorder the terms: 49 + 3y = 7(y + 3) Reorder the terms: 49 + 3y = 7(3 + y) 49 + 3y = (3 * 7 + y * 7) 49 + 3y = (21 + 7y) Solving 49 + 3y = 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. 49 + 3y + -7y = 21 + 7y + -7y Combine like terms: 3y + -7y = -4y 49 + -4y = 21 + 7y + -7y Combine like terms: 7y + -7y = 0 49 + -4y = 21 + 0 49 + -4y = 21 Add '-49' to each side of the equation. 49 + -49 + -4y = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -4y = 21 + -49 -4y = 21 + -49 Combine like terms: 21 + -49 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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