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Simplifying 5(y + -1) = 3y + 5 + -2(-7y + 31) Reorder the terms: 5(-1 + y) = 3y + 5 + -2(-7y + 31) (-1 * 5 + y * 5) = 3y + 5 + -2(-7y + 31) (-5 + 5y) = 3y + 5 + -2(-7y + 31) Reorder the terms: -5 + 5y = 3y + 5 + -2(31 + -7y) -5 + 5y = 3y + 5 + (31 * -2 + -7y * -2) -5 + 5y = 3y + 5 + (-62 + 14y) Reorder the terms: -5 + 5y = 5 + -62 + 3y + 14y Combine like terms: 5 + -62 = -57 -5 + 5y = -57 + 3y + 14y Combine like terms: 3y + 14y = 17y -5 + 5y = -57 + 17y Solving -5 + 5y = -57 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -5 + 5y + -17y = -57 + 17y + -17y Combine like terms: 5y + -17y = -12y -5 + -12y = -57 + 17y + -17y Combine like terms: 17y + -17y = 0 -5 + -12y = -57 + 0 -5 + -12y = -57 Add '5' to each side of the equation. -5 + 5 + -12y = -57 + 5 Combine like terms: -5 + 5 = 0 0 + -12y = -57 + 5 -12y = -57 + 5 Combine like terms: -57 + 5 = -52 -12y = -52 Divide each side by '-12'. y = 4.333333333 Simplifying y = 4.333333333
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