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Simplifying 5y + -31 = 3(y + -7) Reorder the terms: -31 + 5y = 3(y + -7) Reorder the terms: -31 + 5y = 3(-7 + y) -31 + 5y = (-7 * 3 + y * 3) -31 + 5y = (-21 + 3y) Solving -31 + 5y = -21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -31 + 5y + -3y = -21 + 3y + -3y Combine like terms: 5y + -3y = 2y -31 + 2y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 -31 + 2y = -21 + 0 -31 + 2y = -21 Add '31' to each side of the equation. -31 + 31 + 2y = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 2y = -21 + 31 2y = -21 + 31 Combine like terms: -21 + 31 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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