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Simplifying 3(9y + -2.6) + 7.2 = 6(8y + -0.1) Reorder the terms: 3(-2.6 + 9y) + 7.2 = 6(8y + -0.1) (-2.6 * 3 + 9y * 3) + 7.2 = 6(8y + -0.1) (-7.8 + 27y) + 7.2 = 6(8y + -0.1) Reorder the terms: -7.8 + 7.2 + 27y = 6(8y + -0.1) Combine like terms: -7.8 + 7.2 = -0.6 -0.6 + 27y = 6(8y + -0.1) Reorder the terms: -0.6 + 27y = 6(-0.1 + 8y) -0.6 + 27y = (-0.1 * 6 + 8y * 6) -0.6 + 27y = (-0.6 + 48y) Add '0.6' to each side of the equation. -0.6 + 0.6 + 27y = -0.6 + 0.6 + 48y Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 27y = -0.6 + 0.6 + 48y 27y = -0.6 + 0.6 + 48y Combine like terms: -0.6 + 0.6 = 0.0 27y = 0.0 + 48y 27y = 48y Solving 27y = 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. 27y + -48y = 48y + -48y Combine like terms: 27y + -48y = -21y -21y = 48y + -48y Combine like terms: 48y + -48y = 0 -21y = 0 Divide each side by '-21'. y = 0 Simplifying y = 0
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