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Simplifying (7y + -10) = (9y + 46) Reorder the terms: (-10 + 7y) = (9y + 46) Remove parenthesis around (-10 + 7y) -10 + 7y = (9y + 46) Reorder the terms: -10 + 7y = (46 + 9y) Remove parenthesis around (46 + 9y) -10 + 7y = 46 + 9y Solving -10 + 7y = 46 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -10 + 7y + -9y = 46 + 9y + -9y Combine like terms: 7y + -9y = -2y -10 + -2y = 46 + 9y + -9y Combine like terms: 9y + -9y = 0 -10 + -2y = 46 + 0 -10 + -2y = 46 Add '10' to each side of the equation. -10 + 10 + -2y = 46 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = 46 + 10 -2y = 46 + 10 Combine like terms: 46 + 10 = 56 -2y = 56 Divide each side by '-2'. y = -28 Simplifying y = -28
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