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Simplifying 3(4y + -4.8) + 13.7 = 7(9y + -0.1) Reorder the terms: 3(-4.8 + 4y) + 13.7 = 7(9y + -0.1) (-4.8 * 3 + 4y * 3) + 13.7 = 7(9y + -0.1) (-14.4 + 12y) + 13.7 = 7(9y + -0.1) Reorder the terms: -14.4 + 13.7 + 12y = 7(9y + -0.1) Combine like terms: -14.4 + 13.7 = -0.7 -0.7 + 12y = 7(9y + -0.1) Reorder the terms: -0.7 + 12y = 7(-0.1 + 9y) -0.7 + 12y = (-0.1 * 7 + 9y * 7) -0.7 + 12y = (-0.7 + 63y) Add '0.7' to each side of the equation. -0.7 + 0.7 + 12y = -0.7 + 0.7 + 63y Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 12y = -0.7 + 0.7 + 63y 12y = -0.7 + 0.7 + 63y Combine like terms: -0.7 + 0.7 = 0.0 12y = 0.0 + 63y 12y = 63y Solving 12y = 63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-63y' to each side of the equation. 12y + -63y = 63y + -63y Combine like terms: 12y + -63y = -51y -51y = 63y + -63y Combine like terms: 63y + -63y = 0 -51y = 0 Divide each side by '-51'. y = 0 Simplifying y = 0
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