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Simplifying 7y + -10 = 9y + -34 Reorder the terms: -10 + 7y = 9y + -34 Reorder the terms: -10 + 7y = -34 + 9y Solving -10 + 7y = -34 + 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 = -34 + 9y + -9y Combine like terms: 7y + -9y = -2y -10 + -2y = -34 + 9y + -9y Combine like terms: 9y + -9y = 0 -10 + -2y = -34 + 0 -10 + -2y = -34 Add '10' to each side of the equation. -10 + 10 + -2y = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = -34 + 10 -2y = -34 + 10 Combine like terms: -34 + 10 = -24 -2y = -24 Divide each side by '-2'. y = 12 Simplifying y = 12
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