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Simplifying -4y + -46 = 2(y + 4) Reorder the terms: -46 + -4y = 2(y + 4) Reorder the terms: -46 + -4y = 2(4 + y) -46 + -4y = (4 * 2 + y * 2) -46 + -4y = (8 + 2y) Solving -46 + -4y = 8 + 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. -46 + -4y + -2y = 8 + 2y + -2y Combine like terms: -4y + -2y = -6y -46 + -6y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -46 + -6y = 8 + 0 -46 + -6y = 8 Add '46' to each side of the equation. -46 + 46 + -6y = 8 + 46 Combine like terms: -46 + 46 = 0 0 + -6y = 8 + 46 -6y = 8 + 46 Combine like terms: 8 + 46 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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