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Simplifying 3y + 58 = 9y + 10 Reorder the terms: 58 + 3y = 9y + 10 Reorder the terms: 58 + 3y = 10 + 9y Solving 58 + 3y = 10 + 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. 58 + 3y + -9y = 10 + 9y + -9y Combine like terms: 3y + -9y = -6y 58 + -6y = 10 + 9y + -9y Combine like terms: 9y + -9y = 0 58 + -6y = 10 + 0 58 + -6y = 10 Add '-58' to each side of the equation. 58 + -58 + -6y = 10 + -58 Combine like terms: 58 + -58 = 0 0 + -6y = 10 + -58 -6y = 10 + -58 Combine like terms: 10 + -58 = -48 -6y = -48 Divide each side by '-6'. y = 8 Simplifying y = 8
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