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Simplifying 4(4y + -2.6) + 8.6 = 6(2y + -0.3) Reorder the terms: 4(-2.6 + 4y) + 8.6 = 6(2y + -0.3) (-2.6 * 4 + 4y * 4) + 8.6 = 6(2y + -0.3) (-10.4 + 16y) + 8.6 = 6(2y + -0.3) Reorder the terms: -10.4 + 8.6 + 16y = 6(2y + -0.3) Combine like terms: -10.4 + 8.6 = -1.8 -1.8 + 16y = 6(2y + -0.3) Reorder the terms: -1.8 + 16y = 6(-0.3 + 2y) -1.8 + 16y = (-0.3 * 6 + 2y * 6) -1.8 + 16y = (-1.8 + 12y) Add '1.8' to each side of the equation. -1.8 + 1.8 + 16y = -1.8 + 1.8 + 12y Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 16y = -1.8 + 1.8 + 12y 16y = -1.8 + 1.8 + 12y Combine like terms: -1.8 + 1.8 = 0.0 16y = 0.0 + 12y 16y = 12y Solving 16y = 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 16y + -12y = 12y + -12y Combine like terms: 16y + -12y = 4y 4y = 12y + -12y Combine like terms: 12y + -12y = 0 4y = 0 Divide each side by '4'. y = 0 Simplifying y = 0
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