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Simplifying -5y + 22 = -7(y + -2) Reorder the terms: 22 + -5y = -7(y + -2) Reorder the terms: 22 + -5y = -7(-2 + y) 22 + -5y = (-2 * -7 + y * -7) 22 + -5y = (14 + -7y) Solving 22 + -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. 22 + -5y + 7y = 14 + -7y + 7y Combine like terms: -5y + 7y = 2y 22 + 2y = 14 + -7y + 7y Combine like terms: -7y + 7y = 0 22 + 2y = 14 + 0 22 + 2y = 14 Add '-22' to each side of the equation. 22 + -22 + 2y = 14 + -22 Combine like terms: 22 + -22 = 0 0 + 2y = 14 + -22 2y = 14 + -22 Combine like terms: 14 + -22 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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