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Simplifying 4(y + -9) = 2(y + 2) Reorder the terms: 4(-9 + y) = 2(y + 2) (-9 * 4 + y * 4) = 2(y + 2) (-36 + 4y) = 2(y + 2) Reorder the terms: -36 + 4y = 2(2 + y) -36 + 4y = (2 * 2 + y * 2) -36 + 4y = (4 + 2y) Solving -36 + 4y = 4 + 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. -36 + 4y + -2y = 4 + 2y + -2y Combine like terms: 4y + -2y = 2y -36 + 2y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 -36 + 2y = 4 + 0 -36 + 2y = 4 Add '36' to each side of the equation. -36 + 36 + 2y = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 2y = 4 + 36 2y = 4 + 36 Combine like terms: 4 + 36 = 40 2y = 40 Divide each side by '2'. y = 20 Simplifying y = 20
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