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Simplifying 9y + -47 = -7(y + -7) Reorder the terms: -47 + 9y = -7(y + -7) Reorder the terms: -47 + 9y = -7(-7 + y) -47 + 9y = (-7 * -7 + y * -7) -47 + 9y = (49 + -7y) Solving -47 + 9y = 49 + -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. -47 + 9y + 7y = 49 + -7y + 7y Combine like terms: 9y + 7y = 16y -47 + 16y = 49 + -7y + 7y Combine like terms: -7y + 7y = 0 -47 + 16y = 49 + 0 -47 + 16y = 49 Add '47' to each side of the equation. -47 + 47 + 16y = 49 + 47 Combine like terms: -47 + 47 = 0 0 + 16y = 49 + 47 16y = 49 + 47 Combine like terms: 49 + 47 = 96 16y = 96 Divide each side by '16'. y = 6 Simplifying y = 6
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