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Simplifying 5(y + -3.8) = 4.7(y + -4) Reorder the terms: 5(-3.8 + y) = 4.7(y + -4) (-3.8 * 5 + y * 5) = 4.7(y + -4) (-19 + 5y) = 4.7(y + -4) Reorder the terms: -19 + 5y = 4.7(-4 + y) -19 + 5y = (-4 * 4.7 + y * 4.7) -19 + 5y = (-18.8 + 4.7y) Solving -19 + 5y = -18.8 + 4.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4.7y' to each side of the equation. -19 + 5y + -4.7y = -18.8 + 4.7y + -4.7y Combine like terms: 5y + -4.7y = 0.3y -19 + 0.3y = -18.8 + 4.7y + -4.7y Combine like terms: 4.7y + -4.7y = 0.0 -19 + 0.3y = -18.8 + 0.0 -19 + 0.3y = -18.8 Add '19' to each side of the equation. -19 + 19 + 0.3y = -18.8 + 19 Combine like terms: -19 + 19 = 0 0 + 0.3y = -18.8 + 19 0.3y = -18.8 + 19 Combine like terms: -18.8 + 19 = 0.2 0.3y = 0.2 Divide each side by '0.3'. y = 0.6666666667 Simplifying y = 0.6666666667
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