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Simplifying (-4y) + 7 = (-10y) + 37 Reorder the terms: 7 + (-4y) = (-10y) + 37 Reorder the terms: 7 + (-4y) = 37 + (-10y) Solving 7 + (-4y) = 37 + (-10y) Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '(10y)' to each side of the equation. 7 + (-4y) + (10y) = 37 + (-10y) + (10y) Combine like terms: (-4y) + (10y) = 6y 7 + 6y = 37 + (-10y) + (10y) Combine like terms: (-10y) + (10y) = 0 7 + 6y = 37 + 0 7 + 6y = 37 Add '-7' to each side of the equation. 7 + -7 + 6y = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 37 + -7 6y = 37 + -7 Combine like terms: 37 + -7 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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