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Simplifying 3(-5.2 + -0.4y) + -2y = -38 (-5.2 * 3 + -0.4y * 3) + -2y = -38 (-15.6 + -1.2y) + -2y = -38 Combine like terms: -1.2y + -2y = -3.2y -15.6 + -3.2y = -38 Solving -15.6 + -3.2y = -38 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15.6' to each side of the equation. -15.6 + 15.6 + -3.2y = -38 + 15.6 Combine like terms: -15.6 + 15.6 = 0.0 0.0 + -3.2y = -38 + 15.6 -3.2y = -38 + 15.6 Combine like terms: -38 + 15.6 = -22.4 -3.2y = -22.4 Divide each side by '-3.2'. y = 7 Simplifying y = 7
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