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Simplifying -18(y + 1) = 2(2y + -9) + -154 Reorder the terms: -18(1 + y) = 2(2y + -9) + -154 (1 * -18 + y * -18) = 2(2y + -9) + -154 (-18 + -18y) = 2(2y + -9) + -154 Reorder the terms: -18 + -18y = 2(-9 + 2y) + -154 -18 + -18y = (-9 * 2 + 2y * 2) + -154 -18 + -18y = (-18 + 4y) + -154 Reorder the terms: -18 + -18y = -18 + -154 + 4y Combine like terms: -18 + -154 = -172 -18 + -18y = -172 + 4y Solving -18 + -18y = -172 + 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. -18 + -18y + -4y = -172 + 4y + -4y Combine like terms: -18y + -4y = -22y -18 + -22y = -172 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + -22y = -172 + 0 -18 + -22y = -172 Add '18' to each side of the equation. -18 + 18 + -22y = -172 + 18 Combine like terms: -18 + 18 = 0 0 + -22y = -172 + 18 -22y = -172 + 18 Combine like terms: -172 + 18 = -154 -22y = -154 Divide each side by '-22'. y = 7 Simplifying y = 7
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