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Simplifying 4z + -5y + -3 = 13 + 2y + -2z Reorder the terms: -3 + -5y + 4z = 13 + 2y + -2z Solving -3 + -5y + 4z = 13 + 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. -3 + -5y + -2y + 4z = 13 + 2y + -2y + -2z Combine like terms: -5y + -2y = -7y -3 + -7y + 4z = 13 + 2y + -2y + -2z Combine like terms: 2y + -2y = 0 -3 + -7y + 4z = 13 + 0 + -2z -3 + -7y + 4z = 13 + -2z Add '3' to each side of the equation. -3 + -7y + 3 + 4z = 13 + 3 + -2z Reorder the terms: -3 + 3 + -7y + 4z = 13 + 3 + -2z Combine like terms: -3 + 3 = 0 0 + -7y + 4z = 13 + 3 + -2z -7y + 4z = 13 + 3 + -2z Combine like terms: 13 + 3 = 16 -7y + 4z = 16 + -2z Add '-4z' to each side of the equation. -7y + 4z + -4z = 16 + -2z + -4z Combine like terms: 4z + -4z = 0 -7y + 0 = 16 + -2z + -4z -7y = 16 + -2z + -4z Combine like terms: -2z + -4z = -6z -7y = 16 + -6z Divide each side by '-7'. y = -2.285714286 + 0.8571428571z Simplifying y = -2.285714286 + 0.8571428571z
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