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Simplifying 7y + -3 = 10 + -1(5 + -3y) Reorder the terms: -3 + 7y = 10 + -1(5 + -3y) -3 + 7y = 10 + (5 * -1 + -3y * -1) -3 + 7y = 10 + (-5 + 3y) Combine like terms: 10 + -5 = 5 -3 + 7y = 5 + 3y Solving -3 + 7y = 5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -3 + 7y + -3y = 5 + 3y + -3y Combine like terms: 7y + -3y = 4y -3 + 4y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 -3 + 4y = 5 + 0 -3 + 4y = 5 Add '3' to each side of the equation. -3 + 3 + 4y = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4y = 5 + 3 4y = 5 + 3 Combine like terms: 5 + 3 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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