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Simplifying 3y + 2x + 18 = y + 15 + 8x Reorder the terms: 18 + 2x + 3y = y + 15 + 8x Reorder the terms: 18 + 2x + 3y = 15 + 8x + y Solving 18 + 2x + 3y = 15 + 8x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + 2x + -8x + 3y = 15 + 8x + -8x + y Combine like terms: 2x + -8x = -6x 18 + -6x + 3y = 15 + 8x + -8x + y Combine like terms: 8x + -8x = 0 18 + -6x + 3y = 15 + 0 + y 18 + -6x + 3y = 15 + y Add '-18' to each side of the equation. 18 + -6x + -18 + 3y = 15 + -18 + y Reorder the terms: 18 + -18 + -6x + 3y = 15 + -18 + y Combine like terms: 18 + -18 = 0 0 + -6x + 3y = 15 + -18 + y -6x + 3y = 15 + -18 + y Combine like terms: 15 + -18 = -3 -6x + 3y = -3 + y Add '-3y' to each side of the equation. -6x + 3y + -3y = -3 + y + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = -3 + y + -3y -6x = -3 + y + -3y Combine like terms: y + -3y = -2y -6x = -3 + -2y Divide each side by '-6'. x = 0.5 + 0.3333333333y Simplifying x = 0.5 + 0.3333333333y
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