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Simplifying 2(3y + -1.9) + 0.2 = 4(2y + -0.9) Reorder the terms: 2(-1.9 + 3y) + 0.2 = 4(2y + -0.9) (-1.9 * 2 + 3y * 2) + 0.2 = 4(2y + -0.9) (-3.8 + 6y) + 0.2 = 4(2y + -0.9) Reorder the terms: -3.8 + 0.2 + 6y = 4(2y + -0.9) Combine like terms: -3.8 + 0.2 = -3.6 -3.6 + 6y = 4(2y + -0.9) Reorder the terms: -3.6 + 6y = 4(-0.9 + 2y) -3.6 + 6y = (-0.9 * 4 + 2y * 4) -3.6 + 6y = (-3.6 + 8y) Add '3.6' to each side of the equation. -3.6 + 3.6 + 6y = -3.6 + 3.6 + 8y Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 6y = -3.6 + 3.6 + 8y 6y = -3.6 + 3.6 + 8y Combine like terms: -3.6 + 3.6 = 0.0 6y = 0.0 + 8y 6y = 8y Solving 6y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 6y + -8y = 8y + -8y Combine like terms: 6y + -8y = -2y -2y = 8y + -8y Combine like terms: 8y + -8y = 0 -2y = 0 Divide each side by '-2'. y = 0 Simplifying y = 0
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