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Simplifying -7(y + -2) = -3y + 22 Reorder the terms: -7(-2 + y) = -3y + 22 (-2 * -7 + y * -7) = -3y + 22 (14 + -7y) = -3y + 22 Reorder the terms: 14 + -7y = 22 + -3y Solving 14 + -7y = 22 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 14 + -7y + 3y = 22 + -3y + 3y Combine like terms: -7y + 3y = -4y 14 + -4y = 22 + -3y + 3y Combine like terms: -3y + 3y = 0 14 + -4y = 22 + 0 14 + -4y = 22 Add '-14' to each side of the equation. 14 + -14 + -4y = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -4y = 22 + -14 -4y = 22 + -14 Combine like terms: 22 + -14 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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