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Simplifying 3(7y + -1.9) + 4.3 = 7(2y + -0.2) Reorder the terms: 3(-1.9 + 7y) + 4.3 = 7(2y + -0.2) (-1.9 * 3 + 7y * 3) + 4.3 = 7(2y + -0.2) (-5.7 + 21y) + 4.3 = 7(2y + -0.2) Reorder the terms: -5.7 + 4.3 + 21y = 7(2y + -0.2) Combine like terms: -5.7 + 4.3 = -1.4 -1.4 + 21y = 7(2y + -0.2) Reorder the terms: -1.4 + 21y = 7(-0.2 + 2y) -1.4 + 21y = (-0.2 * 7 + 2y * 7) -1.4 + 21y = (-1.4 + 14y) Add '1.4' to each side of the equation. -1.4 + 1.4 + 21y = -1.4 + 1.4 + 14y Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 21y = -1.4 + 1.4 + 14y 21y = -1.4 + 1.4 + 14y Combine like terms: -1.4 + 1.4 = 0.0 21y = 0.0 + 14y 21y = 14y Solving 21y = 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 21y + -14y = 14y + -14y Combine like terms: 21y + -14y = 7y 7y = 14y + -14y Combine like terms: 14y + -14y = 0 7y = 0 Divide each side by '7'. y = 0 Simplifying y = 0
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