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Simplifying 4(7y + -4.5) + 17.6 = 4(3y + -0.1) Reorder the terms: 4(-4.5 + 7y) + 17.6 = 4(3y + -0.1) (-4.5 * 4 + 7y * 4) + 17.6 = 4(3y + -0.1) (-18 + 28y) + 17.6 = 4(3y + -0.1) Reorder the terms: -18 + 17.6 + 28y = 4(3y + -0.1) Combine like terms: -18 + 17.6 = -0.4 -0.4 + 28y = 4(3y + -0.1) Reorder the terms: -0.4 + 28y = 4(-0.1 + 3y) -0.4 + 28y = (-0.1 * 4 + 3y * 4) -0.4 + 28y = (-0.4 + 12y) Add '0.4' to each side of the equation. -0.4 + 0.4 + 28y = -0.4 + 0.4 + 12y Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 28y = -0.4 + 0.4 + 12y 28y = -0.4 + 0.4 + 12y Combine like terms: -0.4 + 0.4 = 0.0 28y = 0.0 + 12y 28y = 12y Solving 28y = 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. 28y + -12y = 12y + -12y Combine like terms: 28y + -12y = 16y 16y = 12y + -12y Combine like terms: 12y + -12y = 0 16y = 0 Divide each side by '16'. y = 0 Simplifying y = 0
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