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Simplifying -9 + 7(12y + -12) + -9(6y + 10) = 4 + 17(-10y + 7) Reorder the terms: -9 + 7(-12 + 12y) + -9(6y + 10) = 4 + 17(-10y + 7) -9 + (-12 * 7 + 12y * 7) + -9(6y + 10) = 4 + 17(-10y + 7) -9 + (-84 + 84y) + -9(6y + 10) = 4 + 17(-10y + 7) Reorder the terms: -9 + -84 + 84y + -9(10 + 6y) = 4 + 17(-10y + 7) -9 + -84 + 84y + (10 * -9 + 6y * -9) = 4 + 17(-10y + 7) -9 + -84 + 84y + (-90 + -54y) = 4 + 17(-10y + 7) Reorder the terms: -9 + -84 + -90 + 84y + -54y = 4 + 17(-10y + 7) Combine like terms: -9 + -84 = -93 -93 + -90 + 84y + -54y = 4 + 17(-10y + 7) Combine like terms: -93 + -90 = -183 -183 + 84y + -54y = 4 + 17(-10y + 7) Combine like terms: 84y + -54y = 30y -183 + 30y = 4 + 17(-10y + 7) Reorder the terms: -183 + 30y = 4 + 17(7 + -10y) -183 + 30y = 4 + (7 * 17 + -10y * 17) -183 + 30y = 4 + (119 + -170y) Combine like terms: 4 + 119 = 123 -183 + 30y = 123 + -170y Solving -183 + 30y = 123 + -170y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '170y' to each side of the equation. -183 + 30y + 170y = 123 + -170y + 170y Combine like terms: 30y + 170y = 200y -183 + 200y = 123 + -170y + 170y Combine like terms: -170y + 170y = 0 -183 + 200y = 123 + 0 -183 + 200y = 123 Add '183' to each side of the equation. -183 + 183 + 200y = 123 + 183 Combine like terms: -183 + 183 = 0 0 + 200y = 123 + 183 200y = 123 + 183 Combine like terms: 123 + 183 = 306 200y = 306 Divide each side by '200'. y = 1.53 Simplifying y = 1.53
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