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Simplifying -2 = 5(y + -2) + -7y Reorder the terms: -2 = 5(-2 + y) + -7y -2 = (-2 * 5 + y * 5) + -7y -2 = (-10 + 5y) + -7y Combine like terms: 5y + -7y = -2y -2 = -10 + -2y Solving -2 = -10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -2 + 2y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -2 + 2y = -10 + 0 -2 + 2y = -10 Add '2' to each side of the equation. -2 + 2 + 2y = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = -10 + 2 2y = -10 + 2 Combine like terms: -10 + 2 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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