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Simplifying 2(y + -7) + -1 = -3(-9y + 9) + -7y Reorder the terms: 2(-7 + y) + -1 = -3(-9y + 9) + -7y (-7 * 2 + y * 2) + -1 = -3(-9y + 9) + -7y (-14 + 2y) + -1 = -3(-9y + 9) + -7y Reorder the terms: -14 + -1 + 2y = -3(-9y + 9) + -7y Combine like terms: -14 + -1 = -15 -15 + 2y = -3(-9y + 9) + -7y Reorder the terms: -15 + 2y = -3(9 + -9y) + -7y -15 + 2y = (9 * -3 + -9y * -3) + -7y -15 + 2y = (-27 + 27y) + -7y Combine like terms: 27y + -7y = 20y -15 + 2y = -27 + 20y Solving -15 + 2y = -27 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -15 + 2y + -20y = -27 + 20y + -20y Combine like terms: 2y + -20y = -18y -15 + -18y = -27 + 20y + -20y Combine like terms: 20y + -20y = 0 -15 + -18y = -27 + 0 -15 + -18y = -27 Add '15' to each side of the equation. -15 + 15 + -18y = -27 + 15 Combine like terms: -15 + 15 = 0 0 + -18y = -27 + 15 -18y = -27 + 15 Combine like terms: -27 + 15 = -12 -18y = -12 Divide each side by '-18'. y = 0.6666666667 Simplifying y = 0.6666666667
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