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Simplifying 5(y + -1) = 7 + -2(y + -1z) Reorder the terms: 5(-1 + y) = 7 + -2(y + -1z) (-1 * 5 + y * 5) = 7 + -2(y + -1z) (-5 + 5y) = 7 + -2(y + -1z) -5 + 5y = 7 + (y * -2 + -1z * -2) -5 + 5y = 7 + (-2y + 2z) Solving -5 + 5y = 7 + -2y + 2z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -5 + 5y + 2y = 7 + -2y + 2y + 2z Combine like terms: 5y + 2y = 7y -5 + 7y = 7 + -2y + 2y + 2z Combine like terms: -2y + 2y = 0 -5 + 7y = 7 + 0 + 2z -5 + 7y = 7 + 2z Add '5' to each side of the equation. -5 + 5 + 7y = 7 + 5 + 2z Combine like terms: -5 + 5 = 0 0 + 7y = 7 + 5 + 2z 7y = 7 + 5 + 2z Combine like terms: 7 + 5 = 12 7y = 12 + 2z Divide each side by '7'. y = 1.714285714 + 0.2857142857z Simplifying y = 1.714285714 + 0.2857142857z
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