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Simplifying -3(q + -4) + 15 = -3(y + -4) + 6y Reorder the terms: -3(-4 + q) + 15 = -3(y + -4) + 6y (-4 * -3 + q * -3) + 15 = -3(y + -4) + 6y (12 + -3q) + 15 = -3(y + -4) + 6y Reorder the terms: 12 + 15 + -3q = -3(y + -4) + 6y Combine like terms: 12 + 15 = 27 27 + -3q = -3(y + -4) + 6y Reorder the terms: 27 + -3q = -3(-4 + y) + 6y 27 + -3q = (-4 * -3 + y * -3) + 6y 27 + -3q = (12 + -3y) + 6y Combine like terms: -3y + 6y = 3y 27 + -3q = 12 + 3y Solving 27 + -3q = 12 + 3y Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -3q = 12 + -27 + 3y Combine like terms: 27 + -27 = 0 0 + -3q = 12 + -27 + 3y -3q = 12 + -27 + 3y Combine like terms: 12 + -27 = -15 -3q = -15 + 3y Divide each side by '-3'. q = 5 + -1y Simplifying q = 5 + -1y
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