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Simplifying 4.2(6y + -7) = 0.5(3y + 7) Reorder the terms: 4.2(-7 + 6y) = 0.5(3y + 7) (-7 * 4.2 + 6y * 4.2) = 0.5(3y + 7) (-29.4 + 25.2y) = 0.5(3y + 7) Reorder the terms: -29.4 + 25.2y = 0.5(7 + 3y) -29.4 + 25.2y = (7 * 0.5 + 3y * 0.5) -29.4 + 25.2y = (3.5 + 1.5y) Solving -29.4 + 25.2y = 3.5 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. -29.4 + 25.2y + -1.5y = 3.5 + 1.5y + -1.5y Combine like terms: 25.2y + -1.5y = 23.7y -29.4 + 23.7y = 3.5 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 -29.4 + 23.7y = 3.5 + 0.0 -29.4 + 23.7y = 3.5 Add '29.4' to each side of the equation. -29.4 + 29.4 + 23.7y = 3.5 + 29.4 Combine like terms: -29.4 + 29.4 = 0.0 0.0 + 23.7y = 3.5 + 29.4 23.7y = 3.5 + 29.4 Combine like terms: 3.5 + 29.4 = 32.9 23.7y = 32.9 Divide each side by '23.7'. y = 1.388185654 Simplifying y = 1.388185654
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