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Simplifying 7y + -6 = 5(y + -2) Reorder the terms: -6 + 7y = 5(y + -2) Reorder the terms: -6 + 7y = 5(-2 + y) -6 + 7y = (-2 * 5 + y * 5) -6 + 7y = (-10 + 5y) Solving -6 + 7y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -6 + 7y + -5y = -10 + 5y + -5y Combine like terms: 7y + -5y = 2y -6 + 2y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + 2y = -10 + 0 -6 + 2y = -10 Add '6' to each side of the equation. -6 + 6 + 2y = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = -10 + 6 2y = -10 + 6 Combine like terms: -10 + 6 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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