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Simplifying -5 + -2(y + -5) = 4y + -2(y + 4) + -3 Reorder the terms: -5 + -2(-5 + y) = 4y + -2(y + 4) + -3 -5 + (-5 * -2 + y * -2) = 4y + -2(y + 4) + -3 -5 + (10 + -2y) = 4y + -2(y + 4) + -3 Combine like terms: -5 + 10 = 5 5 + -2y = 4y + -2(y + 4) + -3 Reorder the terms: 5 + -2y = 4y + -2(4 + y) + -3 5 + -2y = 4y + (4 * -2 + y * -2) + -3 5 + -2y = 4y + (-8 + -2y) + -3 Reorder the terms: 5 + -2y = -8 + -3 + 4y + -2y Combine like terms: -8 + -3 = -11 5 + -2y = -11 + 4y + -2y Combine like terms: 4y + -2y = 2y 5 + -2y = -11 + 2y Solving 5 + -2y = -11 + 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. 5 + -2y + -2y = -11 + 2y + -2y Combine like terms: -2y + -2y = -4y 5 + -4y = -11 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + -4y = -11 + 0 5 + -4y = -11 Add '-5' to each side of the equation. 5 + -5 + -4y = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = -11 + -5 -4y = -11 + -5 Combine like terms: -11 + -5 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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