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Simplifying 4y + -4(5z + 5y) + -5z = 0 Reorder the terms: 4y + -4(5y + 5z) + -5z = 0 4y + (5y * -4 + 5z * -4) + -5z = 0 4y + (-20y + -20z) + -5z = 0 Combine like terms: 4y + -20y = -16y -16y + -20z + -5z = 0 Combine like terms: -20z + -5z = -25z -16y + -25z = 0 Solving -16y + -25z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25z' to each side of the equation. -16y + -25z + 25z = 0 + 25z Combine like terms: -25z + 25z = 0 -16y + 0 = 0 + 25z -16y = 0 + 25z Remove the zero: -16y = 25z Divide each side by '-16'. y = -1.5625z Simplifying y = -1.5625z
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