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Simplifying 2(6y + -3.6) + 5.6 = 4(2y + -0.4) Reorder the terms: 2(-3.6 + 6y) + 5.6 = 4(2y + -0.4) (-3.6 * 2 + 6y * 2) + 5.6 = 4(2y + -0.4) (-7.2 + 12y) + 5.6 = 4(2y + -0.4) Reorder the terms: -7.2 + 5.6 + 12y = 4(2y + -0.4) Combine like terms: -7.2 + 5.6 = -1.6 -1.6 + 12y = 4(2y + -0.4) Reorder the terms: -1.6 + 12y = 4(-0.4 + 2y) -1.6 + 12y = (-0.4 * 4 + 2y * 4) -1.6 + 12y = (-1.6 + 8y) Add '1.6' to each side of the equation. -1.6 + 1.6 + 12y = -1.6 + 1.6 + 8y Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 12y = -1.6 + 1.6 + 8y 12y = -1.6 + 1.6 + 8y Combine like terms: -1.6 + 1.6 = 0.0 12y = 0.0 + 8y 12y = 8y Solving 12y = 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. 12y + -8y = 8y + -8y Combine like terms: 12y + -8y = 4y 4y = 8y + -8y Combine like terms: 8y + -8y = 0 4y = 0 Divide each side by '4'. y = 0 Simplifying y = 0
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