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Simplifying 7y + -42 + 3y + 22 = 3x + 10 + 5x + -38 Reorder the terms: -42 + 22 + 7y + 3y = 3x + 10 + 5x + -38 Combine like terms: -42 + 22 = -20 -20 + 7y + 3y = 3x + 10 + 5x + -38 Combine like terms: 7y + 3y = 10y -20 + 10y = 3x + 10 + 5x + -38 Reorder the terms: -20 + 10y = 10 + -38 + 3x + 5x Combine like terms: 10 + -38 = -28 -20 + 10y = -28 + 3x + 5x Combine like terms: 3x + 5x = 8x -20 + 10y = -28 + 8x Solving -20 + 10y = -28 + 8x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10y = -28 + 20 + 8x Combine like terms: -20 + 20 = 0 0 + 10y = -28 + 20 + 8x 10y = -28 + 20 + 8x Combine like terms: -28 + 20 = -8 10y = -8 + 8x Divide each side by '10'. y = -0.8 + 0.8x Simplifying y = -0.8 + 0.8x
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