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Simplifying 46 = -2(23 + -1y) + 4(y + -4) 46 = (23 * -2 + -1y * -2) + 4(y + -4) 46 = (-46 + 2y) + 4(y + -4) Reorder the terms: 46 = -46 + 2y + 4(-4 + y) 46 = -46 + 2y + (-4 * 4 + y * 4) 46 = -46 + 2y + (-16 + 4y) Reorder the terms: 46 = -46 + -16 + 2y + 4y Combine like terms: -46 + -16 = -62 46 = -62 + 2y + 4y Combine like terms: 2y + 4y = 6y 46 = -62 + 6y Solving 46 = -62 + 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. 46 + -6y = -62 + 6y + -6y Combine like terms: 6y + -6y = 0 46 + -6y = -62 + 0 46 + -6y = -62 Add '-46' to each side of the equation. 46 + -46 + -6y = -62 + -46 Combine like terms: 46 + -46 = 0 0 + -6y = -62 + -46 -6y = -62 + -46 Combine like terms: -62 + -46 = -108 -6y = -108 Divide each side by '-6'. y = 18 Simplifying y = 18
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