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Simplifying 3(7y + -4.3) + 12.6 = 3(8y + -0.1) Reorder the terms: 3(-4.3 + 7y) + 12.6 = 3(8y + -0.1) (-4.3 * 3 + 7y * 3) + 12.6 = 3(8y + -0.1) (-12.9 + 21y) + 12.6 = 3(8y + -0.1) Reorder the terms: -12.9 + 12.6 + 21y = 3(8y + -0.1) Combine like terms: -12.9 + 12.6 = -0.3 -0.3 + 21y = 3(8y + -0.1) Reorder the terms: -0.3 + 21y = 3(-0.1 + 8y) -0.3 + 21y = (-0.1 * 3 + 8y * 3) -0.3 + 21y = (-0.3 + 24y) Add '0.3' to each side of the equation. -0.3 + 0.3 + 21y = -0.3 + 0.3 + 24y Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 21y = -0.3 + 0.3 + 24y 21y = -0.3 + 0.3 + 24y Combine like terms: -0.3 + 0.3 = 0.0 21y = 0.0 + 24y 21y = 24y Solving 21y = 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 21y + -24y = 24y + -24y Combine like terms: 21y + -24y = -3y -3y = 24y + -24y Combine like terms: 24y + -24y = 0 -3y = 0 Divide each side by '-3'. y = 0 Simplifying y = 0
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