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Simplifying 10y + -7 = 4y + 5 Reorder the terms: -7 + 10y = 4y + 5 Reorder the terms: -7 + 10y = 5 + 4y Solving -7 + 10y = 5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -7 + 10y + -4y = 5 + 4y + -4y Combine like terms: 10y + -4y = 6y -7 + 6y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + 6y = 5 + 0 -7 + 6y = 5 Add '7' to each side of the equation. -7 + 7 + 6y = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 6y = 5 + 7 6y = 5 + 7 Combine like terms: 5 + 7 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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