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Simplifying 3(y + -7) + -8 = 6(y + 10) + -40 Reorder the terms: 3(-7 + y) + -8 = 6(y + 10) + -40 (-7 * 3 + y * 3) + -8 = 6(y + 10) + -40 (-21 + 3y) + -8 = 6(y + 10) + -40 Reorder the terms: -21 + -8 + 3y = 6(y + 10) + -40 Combine like terms: -21 + -8 = -29 -29 + 3y = 6(y + 10) + -40 Reorder the terms: -29 + 3y = 6(10 + y) + -40 -29 + 3y = (10 * 6 + y * 6) + -40 -29 + 3y = (60 + 6y) + -40 Reorder the terms: -29 + 3y = 60 + -40 + 6y Combine like terms: 60 + -40 = 20 -29 + 3y = 20 + 6y Solving -29 + 3y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -29 + 3y + -6y = 20 + 6y + -6y Combine like terms: 3y + -6y = -3y -29 + -3y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -29 + -3y = 20 + 0 -29 + -3y = 20 Add '29' to each side of the equation. -29 + 29 + -3y = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -3y = 20 + 29 -3y = 20 + 29 Combine like terms: 20 + 29 = 49 -3y = 49 Divide each side by '-3'. y = -16.33333333 Simplifying y = -16.33333333
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