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Simplifying -7(y + -6) = 9y + -22 Reorder the terms: -7(-6 + y) = 9y + -22 (-6 * -7 + y * -7) = 9y + -22 (42 + -7y) = 9y + -22 Reorder the terms: 42 + -7y = -22 + 9y Solving 42 + -7y = -22 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 42 + -7y + -9y = -22 + 9y + -9y Combine like terms: -7y + -9y = -16y 42 + -16y = -22 + 9y + -9y Combine like terms: 9y + -9y = 0 42 + -16y = -22 + 0 42 + -16y = -22 Add '-42' to each side of the equation. 42 + -42 + -16y = -22 + -42 Combine like terms: 42 + -42 = 0 0 + -16y = -22 + -42 -16y = -22 + -42 Combine like terms: -22 + -42 = -64 -16y = -64 Divide each side by '-16'. y = 4 Simplifying y = 4
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