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Simplifying 4(3y + -4.7) + 17.4 = 7(4y + -0.2) Reorder the terms: 4(-4.7 + 3y) + 17.4 = 7(4y + -0.2) (-4.7 * 4 + 3y * 4) + 17.4 = 7(4y + -0.2) (-18.8 + 12y) + 17.4 = 7(4y + -0.2) Reorder the terms: -18.8 + 17.4 + 12y = 7(4y + -0.2) Combine like terms: -18.8 + 17.4 = -1.4 -1.4 + 12y = 7(4y + -0.2) Reorder the terms: -1.4 + 12y = 7(-0.2 + 4y) -1.4 + 12y = (-0.2 * 7 + 4y * 7) -1.4 + 12y = (-1.4 + 28y) Add '1.4' to each side of the equation. -1.4 + 1.4 + 12y = -1.4 + 1.4 + 28y Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 12y = -1.4 + 1.4 + 28y 12y = -1.4 + 1.4 + 28y Combine like terms: -1.4 + 1.4 = 0.0 12y = 0.0 + 28y 12y = 28y Solving 12y = 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 12y + -28y = 28y + -28y Combine like terms: 12y + -28y = -16y -16y = 28y + -28y Combine like terms: 28y + -28y = 0 -16y = 0 Divide each side by '-16'. y = 0 Simplifying y = 0
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