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Simplifying 12x(-4y) + -4y = 15(-4y) + 8y Remove parenthesis around (-4y) 12x * -4y + -4y = 15(-4y) + 8y Reorder the terms for easier multiplication: 12 * -4x * y + -4y = 15(-4y) + 8y Multiply 12 * -4 -48x * y + -4y = 15(-4y) + 8y Multiply x * y -48xy + -4y = 15(-4y) + 8y Remove parenthesis around (-4y) -48xy + -4y = 15 * -4y + 8y Multiply 15 * -4 -48xy + -4y = -60y + 8y Combine like terms: -60y + 8y = -52y -48xy + -4y = -52y Solving -48xy + -4y = -52y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. -48xy + -4y + 4y = -52y + 4y Combine like terms: -4y + 4y = 0 -48xy + 0 = -52y + 4y -48xy = -52y + 4y Combine like terms: -52y + 4y = -48y -48xy = -48y Divide each side by '-48y'. x = 1 Simplifying x = 1
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