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Simplifying 5(y + 6) = 7(y + -2) Reorder the terms: 5(6 + y) = 7(y + -2) (6 * 5 + y * 5) = 7(y + -2) (30 + 5y) = 7(y + -2) Reorder the terms: 30 + 5y = 7(-2 + y) 30 + 5y = (-2 * 7 + y * 7) 30 + 5y = (-14 + 7y) Solving 30 + 5y = -14 + 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. 30 + 5y + -7y = -14 + 7y + -7y Combine like terms: 5y + -7y = -2y 30 + -2y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 30 + -2y = -14 + 0 30 + -2y = -14 Add '-30' to each side of the equation. 30 + -30 + -2y = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -2y = -14 + -30 -2y = -14 + -30 Combine like terms: -14 + -30 = -44 -2y = -44 Divide each side by '-2'. y = 22 Simplifying y = 22
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