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Simplifying 17(-7y + -19) + -9y(-14y + -2) = 6 + 2y(63y + 5) Reorder the terms: 17(-19 + -7y) + -9y(-14y + -2) = 6 + 2y(63y + 5) (-19 * 17 + -7y * 17) + -9y(-14y + -2) = 6 + 2y(63y + 5) (-323 + -119y) + -9y(-14y + -2) = 6 + 2y(63y + 5) Reorder the terms: -323 + -119y + -9y(-2 + -14y) = 6 + 2y(63y + 5) -323 + -119y + (-2 * -9y + -14y * -9y) = 6 + 2y(63y + 5) -323 + -119y + (18y + 126y2) = 6 + 2y(63y + 5) Combine like terms: -119y + 18y = -101y -323 + -101y + 126y2 = 6 + 2y(63y + 5) Reorder the terms: -323 + -101y + 126y2 = 6 + 2y(5 + 63y) -323 + -101y + 126y2 = 6 + (5 * 2y + 63y * 2y) -323 + -101y + 126y2 = 6 + (10y + 126y2) Add '-126y2' to each side of the equation. -323 + -101y + 126y2 + -126y2 = 6 + 10y + 126y2 + -126y2 Combine like terms: 126y2 + -126y2 = 0 -323 + -101y + 0 = 6 + 10y + 126y2 + -126y2 -323 + -101y = 6 + 10y + 126y2 + -126y2 Combine like terms: 126y2 + -126y2 = 0 -323 + -101y = 6 + 10y + 0 -323 + -101y = 6 + 10y Solving -323 + -101y = 6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -323 + -101y + -10y = 6 + 10y + -10y Combine like terms: -101y + -10y = -111y -323 + -111y = 6 + 10y + -10y Combine like terms: 10y + -10y = 0 -323 + -111y = 6 + 0 -323 + -111y = 6 Add '323' to each side of the equation. -323 + 323 + -111y = 6 + 323 Combine like terms: -323 + 323 = 0 0 + -111y = 6 + 323 -111y = 6 + 323 Combine like terms: 6 + 323 = 329 -111y = 329 Divide each side by '-111'. y = -2.963963964 Simplifying y = -2.963963964
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