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Simplifying 5(y + -1) + -2(2y + -3) = 4 Reorder the terms: 5(-1 + y) + -2(2y + -3) = 4 (-1 * 5 + y * 5) + -2(2y + -3) = 4 (-5 + 5y) + -2(2y + -3) = 4 Reorder the terms: -5 + 5y + -2(-3 + 2y) = 4 -5 + 5y + (-3 * -2 + 2y * -2) = 4 -5 + 5y + (6 + -4y) = 4 Reorder the terms: -5 + 6 + 5y + -4y = 4 Combine like terms: -5 + 6 = 1 1 + 5y + -4y = 4 Combine like terms: 5y + -4y = 1y 1 + 1y = 4 Solving 1 + 1y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 4 + -1 1y = 4 + -1 Combine like terms: 4 + -1 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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