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Simplifying 5y + -4r + 2 + 5y + -4r + 2 + 8y + 2r + -3 + 8y + 2r + -3 = 0 Reorder the terms: 2 + 2 + -3 + -3 + -4r + -4r + 2r + 2r + 5y + 5y + 8y + 8y = 0 Combine like terms: 2 + 2 = 4 4 + -3 + -3 + -4r + -4r + 2r + 2r + 5y + 5y + 8y + 8y = 0 Combine like terms: 4 + -3 = 1 1 + -3 + -4r + -4r + 2r + 2r + 5y + 5y + 8y + 8y = 0 Combine like terms: 1 + -3 = -2 -2 + -4r + -4r + 2r + 2r + 5y + 5y + 8y + 8y = 0 Combine like terms: -4r + -4r = -8r -2 + -8r + 2r + 2r + 5y + 5y + 8y + 8y = 0 Combine like terms: -8r + 2r = -6r -2 + -6r + 2r + 5y + 5y + 8y + 8y = 0 Combine like terms: -6r + 2r = -4r -2 + -4r + 5y + 5y + 8y + 8y = 0 Combine like terms: 5y + 5y = 10y -2 + -4r + 10y + 8y + 8y = 0 Combine like terms: 10y + 8y = 18y -2 + -4r + 18y + 8y = 0 Combine like terms: 18y + 8y = 26y -2 + -4r + 26y = 0 Solving -2 + -4r + 26y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4r + 2 + 26y = 0 + 2 Reorder the terms: -2 + 2 + -4r + 26y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4r + 26y = 0 + 2 -4r + 26y = 0 + 2 Combine like terms: 0 + 2 = 2 -4r + 26y = 2 Add '-26y' to each side of the equation. -4r + 26y + -26y = 2 + -26y Combine like terms: 26y + -26y = 0 -4r + 0 = 2 + -26y -4r = 2 + -26y Divide each side by '-4'. r = -0.5 + 6.5y Simplifying r = -0.5 + 6.5y
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