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Simplifying -2(-8y + 7) + -8y = 2(y + -4) + -4 Reorder the terms: -2(7 + -8y) + -8y = 2(y + -4) + -4 (7 * -2 + -8y * -2) + -8y = 2(y + -4) + -4 (-14 + 16y) + -8y = 2(y + -4) + -4 Combine like terms: 16y + -8y = 8y -14 + 8y = 2(y + -4) + -4 Reorder the terms: -14 + 8y = 2(-4 + y) + -4 -14 + 8y = (-4 * 2 + y * 2) + -4 -14 + 8y = (-8 + 2y) + -4 Reorder the terms: -14 + 8y = -8 + -4 + 2y Combine like terms: -8 + -4 = -12 -14 + 8y = -12 + 2y Solving -14 + 8y = -12 + 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. -14 + 8y + -2y = -12 + 2y + -2y Combine like terms: 8y + -2y = 6y -14 + 6y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -14 + 6y = -12 + 0 -14 + 6y = -12 Add '14' to each side of the equation. -14 + 14 + 6y = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 6y = -12 + 14 6y = -12 + 14 Combine like terms: -12 + 14 = 2 6y = 2 Divide each side by '6'. y = 0.3333333333 Simplifying y = 0.3333333333
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