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Simplifying 42(x + 14y) = 42x + -56y (x * 42 + 14y * 42) = 42x + -56y (42x + 588y) = 42x + -56y Add '-42x' to each side of the equation. 42x + -42x + 588y = 42x + -42x + -56y Combine like terms: 42x + -42x = 0 0 + 588y = 42x + -42x + -56y 588y = 42x + -42x + -56y Combine like terms: 42x + -42x = 0 588y = 0 + -56y 588y = -56y Solving 588y = -56y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56y' to each side of the equation. 588y + 56y = -56y + 56y Combine like terms: 588y + 56y = 644y 644y = -56y + 56y Combine like terms: -56y + 56y = 0 644y = 0 Divide each side by '644'. y = 0 Simplifying y = 0
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