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Simplifying 4(5y + -3.4) + 12.4 = 6(9y + -0.2) Reorder the terms: 4(-3.4 + 5y) + 12.4 = 6(9y + -0.2) (-3.4 * 4 + 5y * 4) + 12.4 = 6(9y + -0.2) (-13.6 + 20y) + 12.4 = 6(9y + -0.2) Reorder the terms: -13.6 + 12.4 + 20y = 6(9y + -0.2) Combine like terms: -13.6 + 12.4 = -1.2 -1.2 + 20y = 6(9y + -0.2) Reorder the terms: -1.2 + 20y = 6(-0.2 + 9y) -1.2 + 20y = (-0.2 * 6 + 9y * 6) -1.2 + 20y = (-1.2 + 54y) Add '1.2' to each side of the equation. -1.2 + 1.2 + 20y = -1.2 + 1.2 + 54y Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 20y = -1.2 + 1.2 + 54y 20y = -1.2 + 1.2 + 54y Combine like terms: -1.2 + 1.2 = 0.0 20y = 0.0 + 54y 20y = 54y Solving 20y = 54y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54y' to each side of the equation. 20y + -54y = 54y + -54y Combine like terms: 20y + -54y = -34y -34y = 54y + -54y Combine like terms: 54y + -54y = 0 -34y = 0 Divide each side by '-34'. y = 0 Simplifying y = 0
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