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Simplifying -4(y + 8) + -6(r + 3y) = 0 Reorder the terms: -4(8 + y) + -6(r + 3y) = 0 (8 * -4 + y * -4) + -6(r + 3y) = 0 (-32 + -4y) + -6(r + 3y) = 0 -32 + -4y + (r * -6 + 3y * -6) = 0 -32 + -4y + (-6r + -18y) = 0 Reorder the terms: -32 + -6r + -4y + -18y = 0 Combine like terms: -4y + -18y = -22y -32 + -6r + -22y = 0 Solving -32 + -6r + -22y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -6r + 32 + -22y = 0 + 32 Reorder the terms: -32 + 32 + -6r + -22y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -6r + -22y = 0 + 32 -6r + -22y = 0 + 32 Combine like terms: 0 + 32 = 32 -6r + -22y = 32 Add '22y' to each side of the equation. -6r + -22y + 22y = 32 + 22y Combine like terms: -22y + 22y = 0 -6r + 0 = 32 + 22y -6r = 32 + 22y Divide each side by '-6'. r = -5.333333333 + -3.666666667y Simplifying r = -5.333333333 + -3.666666667y
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