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Simplifying 5(y + -1) = y + 7 + -2(-6y + -1) Reorder the terms: 5(-1 + y) = y + 7 + -2(-6y + -1) (-1 * 5 + y * 5) = y + 7 + -2(-6y + -1) (-5 + 5y) = y + 7 + -2(-6y + -1) Reorder the terms: -5 + 5y = y + 7 + -2(-1 + -6y) -5 + 5y = y + 7 + (-1 * -2 + -6y * -2) -5 + 5y = y + 7 + (2 + 12y) Reorder the terms: -5 + 5y = 7 + 2 + y + 12y Combine like terms: 7 + 2 = 9 -5 + 5y = 9 + y + 12y Combine like terms: y + 12y = 13y -5 + 5y = 9 + 13y Solving -5 + 5y = 9 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -5 + 5y + -13y = 9 + 13y + -13y Combine like terms: 5y + -13y = -8y -5 + -8y = 9 + 13y + -13y Combine like terms: 13y + -13y = 0 -5 + -8y = 9 + 0 -5 + -8y = 9 Add '5' to each side of the equation. -5 + 5 + -8y = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -8y = 9 + 5 -8y = 9 + 5 Combine like terms: 9 + 5 = 14 -8y = 14 Divide each side by '-8'. y = -1.75 Simplifying y = -1.75
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