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Simplifying 2y + -47 = -7(y + 8) Reorder the terms: -47 + 2y = -7(y + 8) Reorder the terms: -47 + 2y = -7(8 + y) -47 + 2y = (8 * -7 + y * -7) -47 + 2y = (-56 + -7y) Solving -47 + 2y = -56 + -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 + 2y + 7y = -56 + -7y + 7y Combine like terms: 2y + 7y = 9y -47 + 9y = -56 + -7y + 7y Combine like terms: -7y + 7y = 0 -47 + 9y = -56 + 0 -47 + 9y = -56 Add '47' to each side of the equation. -47 + 47 + 9y = -56 + 47 Combine like terms: -47 + 47 = 0 0 + 9y = -56 + 47 9y = -56 + 47 Combine like terms: -56 + 47 = -9 9y = -9 Divide each side by '9'. y = -1 Simplifying y = -1
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