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Simplifying 54 = -2(24 + -1y) + 4(y + -3) 54 = (24 * -2 + -1y * -2) + 4(y + -3) 54 = (-48 + 2y) + 4(y + -3) Reorder the terms: 54 = -48 + 2y + 4(-3 + y) 54 = -48 + 2y + (-3 * 4 + y * 4) 54 = -48 + 2y + (-12 + 4y) Reorder the terms: 54 = -48 + -12 + 2y + 4y Combine like terms: -48 + -12 = -60 54 = -60 + 2y + 4y Combine like terms: 2y + 4y = 6y 54 = -60 + 6y Solving 54 = -60 + 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. 54 + -6y = -60 + 6y + -6y Combine like terms: 6y + -6y = 0 54 + -6y = -60 + 0 54 + -6y = -60 Add '-54' to each side of the equation. 54 + -54 + -6y = -60 + -54 Combine like terms: 54 + -54 = 0 0 + -6y = -60 + -54 -6y = -60 + -54 Combine like terms: -60 + -54 = -114 -6y = -114 Divide each side by '-6'. y = 19 Simplifying y = 19
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