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Simplifying -13 + -4y + -5z + 15 + -1(-4z) + 11y = 0 Remove parenthesis around (-4z) -13 + -4y + -5z + 15 + -1 * -4z + 11y = 0 Multiply -1 * -4 -13 + -4y + -5z + 15 + 4z + 11y = 0 Reorder the terms: -13 + 15 + -4y + 11y + -5z + 4z = 0 Combine like terms: -13 + 15 = 2 2 + -4y + 11y + -5z + 4z = 0 Combine like terms: -4y + 11y = 7y 2 + 7y + -5z + 4z = 0 Combine like terms: -5z + 4z = -1z 2 + 7y + -1z = 0 Solving 2 + 7y + -1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7y + -2 + -1z = 0 + -2 Reorder the terms: 2 + -2 + 7y + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y + -1z = 0 + -2 7y + -1z = 0 + -2 Combine like terms: 0 + -2 = -2 7y + -1z = -2 Add 'z' to each side of the equation. 7y + -1z + z = -2 + z Combine like terms: -1z + z = 0 7y + 0 = -2 + z 7y = -2 + z Divide each side by '7'. y = -0.2857142857 + 0.1428571429z Simplifying y = -0.2857142857 + 0.1428571429z
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