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Simplifying -2(-4y + 5) + -1(8 + -8y) = 4y + -7y Reorder the terms: -2(5 + -4y) + -1(8 + -8y) = 4y + -7y (5 * -2 + -4y * -2) + -1(8 + -8y) = 4y + -7y (-10 + 8y) + -1(8 + -8y) = 4y + -7y -10 + 8y + (8 * -1 + -8y * -1) = 4y + -7y -10 + 8y + (-8 + 8y) = 4y + -7y Reorder the terms: -10 + -8 + 8y + 8y = 4y + -7y Combine like terms: -10 + -8 = -18 -18 + 8y + 8y = 4y + -7y Combine like terms: 8y + 8y = 16y -18 + 16y = 4y + -7y Combine like terms: 4y + -7y = -3y -18 + 16y = -3y Solving -18 + 16y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -18 + 16y + 3y = -3y + 3y Combine like terms: 16y + 3y = 19y -18 + 19y = -3y + 3y Combine like terms: -3y + 3y = 0 -18 + 19y = 0 Add '18' to each side of the equation. -18 + 18 + 19y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 19y = 0 + 18 19y = 0 + 18 Combine like terms: 0 + 18 = 18 19y = 18 Divide each side by '19'. y = 0.9473684211 Simplifying y = 0.9473684211
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