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Simplifying 5y + 6y + -81 = 7y + 10z + 65y Reorder the terms: -81 + 5y + 6y = 7y + 10z + 65y Combine like terms: 5y + 6y = 11y -81 + 11y = 7y + 10z + 65y Reorder the terms: -81 + 11y = 7y + 65y + 10z Combine like terms: 7y + 65y = 72y -81 + 11y = 72y + 10z Solving -81 + 11y = 72y + 10z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-72y' to each side of the equation. -81 + 11y + -72y = 72y + -72y + 10z Combine like terms: 11y + -72y = -61y -81 + -61y = 72y + -72y + 10z Combine like terms: 72y + -72y = 0 -81 + -61y = 0 + 10z -81 + -61y = 10z Add '81' to each side of the equation. -81 + 81 + -61y = 81 + 10z Combine like terms: -81 + 81 = 0 0 + -61y = 81 + 10z -61y = 81 + 10z Divide each side by '-61'. y = -1.327868852 + -0.1639344262z Simplifying y = -1.327868852 + -0.1639344262z
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