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Simplifying 4(5y + -3.8) + 14.8 = 2(7y + -0.2) Reorder the terms: 4(-3.8 + 5y) + 14.8 = 2(7y + -0.2) (-3.8 * 4 + 5y * 4) + 14.8 = 2(7y + -0.2) (-15.2 + 20y) + 14.8 = 2(7y + -0.2) Reorder the terms: -15.2 + 14.8 + 20y = 2(7y + -0.2) Combine like terms: -15.2 + 14.8 = -0.4 -0.4 + 20y = 2(7y + -0.2) Reorder the terms: -0.4 + 20y = 2(-0.2 + 7y) -0.4 + 20y = (-0.2 * 2 + 7y * 2) -0.4 + 20y = (-0.4 + 14y) Add '0.4' to each side of the equation. -0.4 + 0.4 + 20y = -0.4 + 0.4 + 14y Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 20y = -0.4 + 0.4 + 14y 20y = -0.4 + 0.4 + 14y Combine like terms: -0.4 + 0.4 = 0.0 20y = 0.0 + 14y 20y = 14y Solving 20y = 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 20y + -14y = 14y + -14y Combine like terms: 20y + -14y = 6y 6y = 14y + -14y Combine like terms: 14y + -14y = 0 6y = 0 Divide each side by '6'. y = 0 Simplifying y = 0
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