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Simplifying 5y + 1z + -2 = 3y + 8y + 3 Reorder the terms: -2 + 5y + 1z = 3y + 8y + 3 Reorder the terms: -2 + 5y + 1z = 3 + 3y + 8y Combine like terms: 3y + 8y = 11y -2 + 5y + 1z = 3 + 11y Solving -2 + 5y + 1z = 3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -2 + 5y + -11y + 1z = 3 + 11y + -11y Combine like terms: 5y + -11y = -6y -2 + -6y + 1z = 3 + 11y + -11y Combine like terms: 11y + -11y = 0 -2 + -6y + 1z = 3 + 0 -2 + -6y + 1z = 3 Add '2' to each side of the equation. -2 + -6y + 2 + 1z = 3 + 2 Reorder the terms: -2 + 2 + -6y + 1z = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -6y + 1z = 3 + 2 -6y + 1z = 3 + 2 Combine like terms: 3 + 2 = 5 -6y + 1z = 5 Add '-1z' to each side of the equation. -6y + 1z + -1z = 5 + -1z Combine like terms: 1z + -1z = 0 -6y + 0 = 5 + -1z -6y = 5 + -1z Divide each side by '-6'. y = -0.8333333333 + 0.1666666667z Simplifying y = -0.8333333333 + 0.1666666667z
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