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Simplifying 7(y + -1) = 7y + 2 + -2(-9y + -3) Reorder the terms: 7(-1 + y) = 7y + 2 + -2(-9y + -3) (-1 * 7 + y * 7) = 7y + 2 + -2(-9y + -3) (-7 + 7y) = 7y + 2 + -2(-9y + -3) Reorder the terms: -7 + 7y = 7y + 2 + -2(-3 + -9y) -7 + 7y = 7y + 2 + (-3 * -2 + -9y * -2) -7 + 7y = 7y + 2 + (6 + 18y) Reorder the terms: -7 + 7y = 2 + 6 + 7y + 18y Combine like terms: 2 + 6 = 8 -7 + 7y = 8 + 7y + 18y Combine like terms: 7y + 18y = 25y -7 + 7y = 8 + 25y Solving -7 + 7y = 8 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -7 + 7y + -25y = 8 + 25y + -25y Combine like terms: 7y + -25y = -18y -7 + -18y = 8 + 25y + -25y Combine like terms: 25y + -25y = 0 -7 + -18y = 8 + 0 -7 + -18y = 8 Add '7' to each side of the equation. -7 + 7 + -18y = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -18y = 8 + 7 -18y = 8 + 7 Combine like terms: 8 + 7 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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