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Simplifying -5y + -5(5z + -3y) + 3 = 0 Reorder the terms: -5y + -5(-3y + 5z) + 3 = 0 -5y + (-3y * -5 + 5z * -5) + 3 = 0 -5y + (15y + -25z) + 3 = 0 Reorder the terms: 3 + -5y + 15y + -25z = 0 Combine like terms: -5y + 15y = 10y 3 + 10y + -25z = 0 Solving 3 + 10y + -25z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10y + -3 + -25z = 0 + -3 Reorder the terms: 3 + -3 + 10y + -25z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10y + -25z = 0 + -3 10y + -25z = 0 + -3 Combine like terms: 0 + -3 = -3 10y + -25z = -3 Add '25z' to each side of the equation. 10y + -25z + 25z = -3 + 25z Combine like terms: -25z + 25z = 0 10y + 0 = -3 + 25z 10y = -3 + 25z Divide each side by '10'. y = -0.3 + 2.5z Simplifying y = -0.3 + 2.5z
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