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Simplifying 3y + 2 = 7(y + 6) Reorder the terms: 2 + 3y = 7(y + 6) Reorder the terms: 2 + 3y = 7(6 + y) 2 + 3y = (6 * 7 + y * 7) 2 + 3y = (42 + 7y) Solving 2 + 3y = 42 + 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. 2 + 3y + -7y = 42 + 7y + -7y Combine like terms: 3y + -7y = -4y 2 + -4y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 2 + -4y = 42 + 0 2 + -4y = 42 Add '-2' to each side of the equation. 2 + -2 + -4y = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = 42 + -2 -4y = 42 + -2 Combine like terms: 42 + -2 = 40 -4y = 40 Divide each side by '-4'. y = -10 Simplifying y = -10
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