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Simplifying 7(-4.2 + -0.2y) + -3y = -47 (-4.2 * 7 + -0.2y * 7) + -3y = -47 (-29.4 + -1.4y) + -3y = -47 Combine like terms: -1.4y + -3y = -4.4y -29.4 + -4.4y = -47 Solving -29.4 + -4.4y = -47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29.4' to each side of the equation. -29.4 + 29.4 + -4.4y = -47 + 29.4 Combine like terms: -29.4 + 29.4 = 0.0 0.0 + -4.4y = -47 + 29.4 -4.4y = -47 + 29.4 Combine like terms: -47 + 29.4 = -17.6 -4.4y = -17.6 Divide each side by '-4.4'. y = 4 Simplifying y = 4
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