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Simplifying y + 4(y + -1) = 9 + -2(y + -3) Reorder the terms: y + 4(-1 + y) = 9 + -2(y + -3) y + (-1 * 4 + y * 4) = 9 + -2(y + -3) y + (-4 + 4y) = 9 + -2(y + -3) Reorder the terms: -4 + y + 4y = 9 + -2(y + -3) Combine like terms: y + 4y = 5y -4 + 5y = 9 + -2(y + -3) Reorder the terms: -4 + 5y = 9 + -2(-3 + y) -4 + 5y = 9 + (-3 * -2 + y * -2) -4 + 5y = 9 + (6 + -2y) Combine like terms: 9 + 6 = 15 -4 + 5y = 15 + -2y Solving -4 + 5y = 15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -4 + 5y + 2y = 15 + -2y + 2y Combine like terms: 5y + 2y = 7y -4 + 7y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 7y = 15 + 0 -4 + 7y = 15 Add '4' to each side of the equation. -4 + 4 + 7y = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 15 + 4 7y = 15 + 4 Combine like terms: 15 + 4 = 19 7y = 19 Divide each side by '7'. y = 2.714285714 Simplifying y = 2.714285714
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