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Simplifying -7(y + 6) = 9y + 38 Reorder the terms: -7(6 + y) = 9y + 38 (6 * -7 + y * -7) = 9y + 38 (-42 + -7y) = 9y + 38 Reorder the terms: -42 + -7y = 38 + 9y Solving -42 + -7y = 38 + 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 = 38 + 9y + -9y Combine like terms: -7y + -9y = -16y -42 + -16y = 38 + 9y + -9y Combine like terms: 9y + -9y = 0 -42 + -16y = 38 + 0 -42 + -16y = 38 Add '42' to each side of the equation. -42 + 42 + -16y = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -16y = 38 + 42 -16y = 38 + 42 Combine like terms: 38 + 42 = 80 -16y = 80 Divide each side by '-16'. y = -5 Simplifying y = -5
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