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Simplifying -7(y + -4) = 2y + -8 Reorder the terms: -7(-4 + y) = 2y + -8 (-4 * -7 + y * -7) = 2y + -8 (28 + -7y) = 2y + -8 Reorder the terms: 28 + -7y = -8 + 2y Solving 28 + -7y = -8 + 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. 28 + -7y + -2y = -8 + 2y + -2y Combine like terms: -7y + -2y = -9y 28 + -9y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + -9y = -8 + 0 28 + -9y = -8 Add '-28' to each side of the equation. 28 + -28 + -9y = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -9y = -8 + -28 -9y = -8 + -28 Combine like terms: -8 + -28 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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