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Simplifying 18 + -2B + -2T + 2y = B + a + -1y Solving 18 + -2B + -2T + 2y = B + a + -1y Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1B' to each side of the equation. 18 + -2B + -2T + -1B + 2y = B + a + -1B + -1y Reorder the terms: 18 + -2B + -1B + -2T + 2y = B + a + -1B + -1y Combine like terms: -2B + -1B = -3B 18 + -3B + -2T + 2y = B + a + -1B + -1y Reorder the terms: 18 + -3B + -2T + 2y = B + -1B + a + -1y Combine like terms: B + -1B = 0 18 + -3B + -2T + 2y = 0 + a + -1y 18 + -3B + -2T + 2y = a + -1y Add '-18' to each side of the equation. 18 + -3B + -2T + -18 + 2y = a + -18 + -1y Reorder the terms: 18 + -18 + -3B + -2T + 2y = a + -18 + -1y Combine like terms: 18 + -18 = 0 0 + -3B + -2T + 2y = a + -18 + -1y -3B + -2T + 2y = a + -18 + -1y Reorder the terms: -3B + -2T + 2y = -18 + a + -1y Add '2T' to each side of the equation. -3B + -2T + 2T + 2y = -18 + a + 2T + -1y Combine like terms: -2T + 2T = 0 -3B + 0 + 2y = -18 + a + 2T + -1y -3B + 2y = -18 + a + 2T + -1y Reorder the terms: -3B + 2y = -18 + 2T + a + -1y Add '-2y' to each side of the equation. -3B + 2y + -2y = -18 + 2T + a + -1y + -2y Combine like terms: 2y + -2y = 0 -3B + 0 = -18 + 2T + a + -1y + -2y -3B = -18 + 2T + a + -1y + -2y Combine like terms: -1y + -2y = -3y -3B = -18 + 2T + a + -3y Divide each side by '-3'. B = 6 + -0.6666666667T + -0.3333333333a + y Simplifying B = 6 + -0.6666666667T + -0.3333333333a + y
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