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Simplifying 4(7y + -4.5) + 17.6 = (3y + -0.1) Reorder the terms: 4(-4.5 + 7y) + 17.6 = (3y + -0.1) (-4.5 * 4 + 7y * 4) + 17.6 = (3y + -0.1) (-18 + 28y) + 17.6 = (3y + -0.1) Reorder the terms: -18 + 17.6 + 28y = (3y + -0.1) Combine like terms: -18 + 17.6 = -0.4 -0.4 + 28y = (3y + -0.1) Reorder the terms: -0.4 + 28y = (-0.1 + 3y) Remove parenthesis around (-0.1 + 3y) -0.4 + 28y = -0.1 + 3y Solving -0.4 + 28y = -0.1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -0.4 + 28y + -3y = -0.1 + 3y + -3y Combine like terms: 28y + -3y = 25y -0.4 + 25y = -0.1 + 3y + -3y Combine like terms: 3y + -3y = 0 -0.4 + 25y = -0.1 + 0 -0.4 + 25y = -0.1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 25y = -0.1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 25y = -0.1 + 0.4 25y = -0.1 + 0.4 Combine like terms: -0.1 + 0.4 = 0.3 25y = 0.3 Divide each side by '25'. y = 0.012 Simplifying y = 0.012
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