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Simplifying 2 = 3y + 7(y + 6) Reorder the terms: 2 = 3y + 7(6 + y) 2 = 3y + (6 * 7 + y * 7) 2 = 3y + (42 + 7y) Reorder the terms: 2 = 42 + 3y + 7y Combine like terms: 3y + 7y = 10y 2 = 42 + 10y Solving 2 = 42 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 2 + -10y = 42 + 10y + -10y Combine like terms: 10y + -10y = 0 2 + -10y = 42 + 0 2 + -10y = 42 Add '-2' to each side of the equation. 2 + -2 + -10y = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -10y = 42 + -2 -10y = 42 + -2 Combine like terms: 42 + -2 = 40 -10y = 40 Divide each side by '-10'. y = -4 Simplifying y = -4
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