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Simplifying y + 4(y + -1) = 9 + -2(2y + -3) Reorder the terms: y + 4(-1 + y) = 9 + -2(2y + -3) y + (-1 * 4 + y * 4) = 9 + -2(2y + -3) y + (-4 + 4y) = 9 + -2(2y + -3) Reorder the terms: -4 + y + 4y = 9 + -2(2y + -3) Combine like terms: y + 4y = 5y -4 + 5y = 9 + -2(2y + -3) Reorder the terms: -4 + 5y = 9 + -2(-3 + 2y) -4 + 5y = 9 + (-3 * -2 + 2y * -2) -4 + 5y = 9 + (6 + -4y) Combine like terms: 9 + 6 = 15 -4 + 5y = 15 + -4y Solving -4 + 5y = 15 + -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. -4 + 5y + 4y = 15 + -4y + 4y Combine like terms: 5y + 4y = 9y -4 + 9y = 15 + -4y + 4y Combine like terms: -4y + 4y = 0 -4 + 9y = 15 + 0 -4 + 9y = 15 Add '4' to each side of the equation. -4 + 4 + 9y = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 9y = 15 + 4 9y = 15 + 4 Combine like terms: 15 + 4 = 19 9y = 19 Divide each side by '9'. y = 2.111111111 Simplifying y = 2.111111111
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