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Simplifying 44 = -2(24 + -1y) + 4(y + -4) 44 = (24 * -2 + -1y * -2) + 4(y + -4) 44 = (-48 + 2y) + 4(y + -4) Reorder the terms: 44 = -48 + 2y + 4(-4 + y) 44 = -48 + 2y + (-4 * 4 + y * 4) 44 = -48 + 2y + (-16 + 4y) Reorder the terms: 44 = -48 + -16 + 2y + 4y Combine like terms: -48 + -16 = -64 44 = -64 + 2y + 4y Combine like terms: 2y + 4y = 6y 44 = -64 + 6y Solving 44 = -64 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 44 + -6y = -64 + 6y + -6y Combine like terms: 6y + -6y = 0 44 + -6y = -64 + 0 44 + -6y = -64 Add '-44' to each side of the equation. 44 + -44 + -6y = -64 + -44 Combine like terms: 44 + -44 = 0 0 + -6y = -64 + -44 -6y = -64 + -44 Combine like terms: -64 + -44 = -108 -6y = -108 Divide each side by '-6'. y = 18 Simplifying y = 18
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