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Simplifying 2(y + -5) + -1(2y + 4) = -8y Reorder the terms: 2(-5 + y) + -1(2y + 4) = -8y (-5 * 2 + y * 2) + -1(2y + 4) = -8y (-10 + 2y) + -1(2y + 4) = -8y Reorder the terms: -10 + 2y + -1(4 + 2y) = -8y -10 + 2y + (4 * -1 + 2y * -1) = -8y -10 + 2y + (-4 + -2y) = -8y Reorder the terms: -10 + -4 + 2y + -2y = -8y Combine like terms: -10 + -4 = -14 -14 + 2y + -2y = -8y Combine like terms: 2y + -2y = 0 -14 + 0 = -8y -14 = -8y Solving -14 = -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -14 + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -14 + 8y = 0 Add '14' to each side of the equation. -14 + 14 + 8y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8y = 0 + 14 8y = 0 + 14 Combine like terms: 0 + 14 = 14 8y = 14 Divide each side by '8'. y = 1.75 Simplifying y = 1.75
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