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Simplifying -2(-4y + 50) + -1(8 + -8y) = 4y + -7y Reorder the terms: -2(50 + -4y) + -1(8 + -8y) = 4y + -7y (50 * -2 + -4y * -2) + -1(8 + -8y) = 4y + -7y (-100 + 8y) + -1(8 + -8y) = 4y + -7y -100 + 8y + (8 * -1 + -8y * -1) = 4y + -7y -100 + 8y + (-8 + 8y) = 4y + -7y Reorder the terms: -100 + -8 + 8y + 8y = 4y + -7y Combine like terms: -100 + -8 = -108 -108 + 8y + 8y = 4y + -7y Combine like terms: 8y + 8y = 16y -108 + 16y = 4y + -7y Combine like terms: 4y + -7y = -3y -108 + 16y = -3y Solving -108 + 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. -108 + 16y + 3y = -3y + 3y Combine like terms: 16y + 3y = 19y -108 + 19y = -3y + 3y Combine like terms: -3y + 3y = 0 -108 + 19y = 0 Add '108' to each side of the equation. -108 + 108 + 19y = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 19y = 0 + 108 19y = 0 + 108 Combine like terms: 0 + 108 = 108 19y = 108 Divide each side by '19'. y = 5.684210526 Simplifying y = 5.684210526
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