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Simplifying 7y + -4y + (y + -2) = 12y + -8 Reorder the terms: 7y + -4y + (-2 + y) = 12y + -8 Remove parenthesis around (-2 + y) 7y + -4y + -2 + y = 12y + -8 Reorder the terms: -2 + 7y + -4y + y = 12y + -8 Combine like terms: 7y + -4y = 3y -2 + 3y + y = 12y + -8 Combine like terms: 3y + y = 4y -2 + 4y = 12y + -8 Reorder the terms: -2 + 4y = -8 + 12y Solving -2 + 4y = -8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -2 + 4y + -12y = -8 + 12y + -12y Combine like terms: 4y + -12y = -8y -2 + -8y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 -2 + -8y = -8 + 0 -2 + -8y = -8 Add '2' to each side of the equation. -2 + 2 + -8y = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -8y = -8 + 2 -8y = -8 + 2 Combine like terms: -8 + 2 = -6 -8y = -6 Divide each side by '-8'. y = 0.75 Simplifying y = 0.75
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