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Simplifying 4(y + -9) = 3(2y + -18) Reorder the terms: 4(-9 + y) = 3(2y + -18) (-9 * 4 + y * 4) = 3(2y + -18) (-36 + 4y) = 3(2y + -18) Reorder the terms: -36 + 4y = 3(-18 + 2y) -36 + 4y = (-18 * 3 + 2y * 3) -36 + 4y = (-54 + 6y) Solving -36 + 4y = -54 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -36 + 4y + -6y = -54 + 6y + -6y Combine like terms: 4y + -6y = -2y -36 + -2y = -54 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + -2y = -54 + 0 -36 + -2y = -54 Add '36' to each side of the equation. -36 + 36 + -2y = -54 + 36 Combine like terms: -36 + 36 = 0 0 + -2y = -54 + 36 -2y = -54 + 36 Combine like terms: -54 + 36 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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