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Simplifying 3(y + -7) + -2(3y + -4) = (2 + -5y) Reorder the terms: 3(-7 + y) + -2(3y + -4) = (2 + -5y) (-7 * 3 + y * 3) + -2(3y + -4) = (2 + -5y) (-21 + 3y) + -2(3y + -4) = (2 + -5y) Reorder the terms: -21 + 3y + -2(-4 + 3y) = (2 + -5y) -21 + 3y + (-4 * -2 + 3y * -2) = (2 + -5y) -21 + 3y + (8 + -6y) = (2 + -5y) Reorder the terms: -21 + 8 + 3y + -6y = (2 + -5y) Combine like terms: -21 + 8 = -13 -13 + 3y + -6y = (2 + -5y) Combine like terms: 3y + -6y = -3y -13 + -3y = (2 + -5y) Remove parenthesis around (2 + -5y) -13 + -3y = 2 + -5y Solving -13 + -3y = 2 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -13 + -3y + 5y = 2 + -5y + 5y Combine like terms: -3y + 5y = 2y -13 + 2y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 -13 + 2y = 2 + 0 -13 + 2y = 2 Add '13' to each side of the equation. -13 + 13 + 2y = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 2 + 13 2y = 2 + 13 Combine like terms: 2 + 13 = 15 2y = 15 Divide each side by '2'. y = 7.5 Simplifying y = 7.5
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