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Simplifying -4(-9y + 2) = 2y + -7 Reorder the terms: -4(2 + -9y) = 2y + -7 (2 * -4 + -9y * -4) = 2y + -7 (-8 + 36y) = 2y + -7 Reorder the terms: -8 + 36y = -7 + 2y Solving -8 + 36y = -7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -8 + 36y + -2y = -7 + 2y + -2y Combine like terms: 36y + -2y = 34y -8 + 34y = -7 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + 34y = -7 + 0 -8 + 34y = -7 Add '8' to each side of the equation. -8 + 8 + 34y = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 34y = -7 + 8 34y = -7 + 8 Combine like terms: -7 + 8 = 1 34y = 1 Divide each side by '34'. y = 0.02941176471 Simplifying y = 0.02941176471
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