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Simplifying 2(6y + -2.9) + 4.2 = 8(9y + -0.2) Reorder the terms: 2(-2.9 + 6y) + 4.2 = 8(9y + -0.2) (-2.9 * 2 + 6y * 2) + 4.2 = 8(9y + -0.2) (-5.8 + 12y) + 4.2 = 8(9y + -0.2) Reorder the terms: -5.8 + 4.2 + 12y = 8(9y + -0.2) Combine like terms: -5.8 + 4.2 = -1.6 -1.6 + 12y = 8(9y + -0.2) Reorder the terms: -1.6 + 12y = 8(-0.2 + 9y) -1.6 + 12y = (-0.2 * 8 + 9y * 8) -1.6 + 12y = (-1.6 + 72y) Add '1.6' to each side of the equation. -1.6 + 1.6 + 12y = -1.6 + 1.6 + 72y Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 12y = -1.6 + 1.6 + 72y 12y = -1.6 + 1.6 + 72y Combine like terms: -1.6 + 1.6 = 0.0 12y = 0.0 + 72y 12y = 72y Solving 12y = 72y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-72y' to each side of the equation. 12y + -72y = 72y + -72y Combine like terms: 12y + -72y = -60y -60y = 72y + -72y Combine like terms: 72y + -72y = 0 -60y = 0 Divide each side by '-60'. y = 0.0 Simplifying y = 0.0
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