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Simplifying 50 = -2(24 + -1y) + 4(y + -4) 50 = (24 * -2 + -1y * -2) + 4(y + -4) 50 = (-48 + 2y) + 4(y + -4) Reorder the terms: 50 = -48 + 2y + 4(-4 + y) 50 = -48 + 2y + (-4 * 4 + y * 4) 50 = -48 + 2y + (-16 + 4y) Reorder the terms: 50 = -48 + -16 + 2y + 4y Combine like terms: -48 + -16 = -64 50 = -64 + 2y + 4y Combine like terms: 2y + 4y = 6y 50 = -64 + 6y Solving 50 = -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. 50 + -6y = -64 + 6y + -6y Combine like terms: 6y + -6y = 0 50 + -6y = -64 + 0 50 + -6y = -64 Add '-50' to each side of the equation. 50 + -50 + -6y = -64 + -50 Combine like terms: 50 + -50 = 0 0 + -6y = -64 + -50 -6y = -64 + -50 Combine like terms: -64 + -50 = -114 -6y = -114 Divide each side by '-6'. y = 19 Simplifying y = 19
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