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Simplifying 4(9y + -3.6) + 17.6 = 4(3y + -0.2) Reorder the terms: 4(-3.6 + 9y) + 17.6 = 4(3y + -0.2) (-3.6 * 4 + 9y * 4) + 17.6 = 4(3y + -0.2) (-14.4 + 36y) + 17.6 = 4(3y + -0.2) Reorder the terms: -14.4 + 17.6 + 36y = 4(3y + -0.2) Combine like terms: -14.4 + 17.6 = 3.2 3.2 + 36y = 4(3y + -0.2) Reorder the terms: 3.2 + 36y = 4(-0.2 + 3y) 3.2 + 36y = (-0.2 * 4 + 3y * 4) 3.2 + 36y = (-0.8 + 12y) Solving 3.2 + 36y = -0.8 + 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. 3.2 + 36y + -12y = -0.8 + 12y + -12y Combine like terms: 36y + -12y = 24y 3.2 + 24y = -0.8 + 12y + -12y Combine like terms: 12y + -12y = 0 3.2 + 24y = -0.8 + 0 3.2 + 24y = -0.8 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 24y = -0.8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 24y = -0.8 + -3.2 24y = -0.8 + -3.2 Combine like terms: -0.8 + -3.2 = -4 24y = -4 Divide each side by '24'. y = -0.1666666667 Simplifying y = -0.1666666667
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