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