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Simplifying 5(9y + -18) + -360 = 9(15y + -30) Reorder the terms: 5(-18 + 9y) + -360 = 9(15y + -30) (-18 * 5 + 9y * 5) + -360 = 9(15y + -30) (-90 + 45y) + -360 = 9(15y + -30) Reorder the terms: -90 + -360 + 45y = 9(15y + -30) Combine like terms: -90 + -360 = -450 -450 + 45y = 9(15y + -30) Reorder the terms: -450 + 45y = 9(-30 + 15y) -450 + 45y = (-30 * 9 + 15y * 9) -450 + 45y = (-270 + 135y) Solving -450 + 45y = -270 + 135y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-135y' to each side of the equation. -450 + 45y + -135y = -270 + 135y + -135y Combine like terms: 45y + -135y = -90y -450 + -90y = -270 + 135y + -135y Combine like terms: 135y + -135y = 0 -450 + -90y = -270 + 0 -450 + -90y = -270 Add '450' to each side of the equation. -450 + 450 + -90y = -270 + 450 Combine like terms: -450 + 450 = 0 0 + -90y = -270 + 450 -90y = -270 + 450 Combine like terms: -270 + 450 = 180 -90y = 180 Divide each side by '-90'. y = -2 Simplifying y = -2
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