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Simplifying -4(4y + -7) = 2y + -8 Reorder the terms: -4(-7 + 4y) = 2y + -8 (-7 * -4 + 4y * -4) = 2y + -8 (28 + -16y) = 2y + -8 Reorder the terms: 28 + -16y = -8 + 2y Solving 28 + -16y = -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 + -16y + -2y = -8 + 2y + -2y Combine like terms: -16y + -2y = -18y 28 + -18y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + -18y = -8 + 0 28 + -18y = -8 Add '-28' to each side of the equation. 28 + -28 + -18y = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -18y = -8 + -28 -18y = -8 + -28 Combine like terms: -8 + -28 = -36 -18y = -36 Divide each side by '-18'. y = 2 Simplifying y = 2
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