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Simplifying -6(7y + -2) = 31 + 9y Reorder the terms: -6(-2 + 7y) = 31 + 9y (-2 * -6 + 7y * -6) = 31 + 9y (12 + -42y) = 31 + 9y Solving 12 + -42y = 31 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 12 + -42y + -9y = 31 + 9y + -9y Combine like terms: -42y + -9y = -51y 12 + -51y = 31 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -51y = 31 + 0 12 + -51y = 31 Add '-12' to each side of the equation. 12 + -12 + -51y = 31 + -12 Combine like terms: 12 + -12 = 0 0 + -51y = 31 + -12 -51y = 31 + -12 Combine like terms: 31 + -12 = 19 -51y = 19 Divide each side by '-51'. y = -0.3725490196 Simplifying y = -0.3725490196
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