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Simplifying -9y + -46 = -7(y + 6) Reorder the terms: -46 + -9y = -7(y + 6) Reorder the terms: -46 + -9y = -7(6 + y) -46 + -9y = (6 * -7 + y * -7) -46 + -9y = (-42 + -7y) Solving -46 + -9y = -42 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -46 + -9y + 7y = -42 + -7y + 7y Combine like terms: -9y + 7y = -2y -46 + -2y = -42 + -7y + 7y Combine like terms: -7y + 7y = 0 -46 + -2y = -42 + 0 -46 + -2y = -42 Add '46' to each side of the equation. -46 + 46 + -2y = -42 + 46 Combine like terms: -46 + 46 = 0 0 + -2y = -42 + 46 -2y = -42 + 46 Combine like terms: -42 + 46 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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