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Simplifying 3(y + -1) + -7 = -2(-8y + 3) + -7y Reorder the terms: 3(-1 + y) + -7 = -2(-8y + 3) + -7y (-1 * 3 + y * 3) + -7 = -2(-8y + 3) + -7y (-3 + 3y) + -7 = -2(-8y + 3) + -7y Reorder the terms: -3 + -7 + 3y = -2(-8y + 3) + -7y Combine like terms: -3 + -7 = -10 -10 + 3y = -2(-8y + 3) + -7y Reorder the terms: -10 + 3y = -2(3 + -8y) + -7y -10 + 3y = (3 * -2 + -8y * -2) + -7y -10 + 3y = (-6 + 16y) + -7y Combine like terms: 16y + -7y = 9y -10 + 3y = -6 + 9y Solving -10 + 3y = -6 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -10 + 3y + -9y = -6 + 9y + -9y Combine like terms: 3y + -9y = -6y -10 + -6y = -6 + 9y + -9y Combine like terms: 9y + -9y = 0 -10 + -6y = -6 + 0 -10 + -6y = -6 Add '10' to each side of the equation. -10 + 10 + -6y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -6y = -6 + 10 -6y = -6 + 10 Combine like terms: -6 + 10 = 4 -6y = 4 Divide each side by '-6'. y = -0.6666666667 Simplifying y = -0.6666666667
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