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Simplifying (5y + -5) + -1(3y + -12) = 3 Reorder the terms: (-5 + 5y) + -1(3y + -12) = 3 Remove parenthesis around (-5 + 5y) -5 + 5y + -1(3y + -12) = 3 Reorder the terms: -5 + 5y + -1(-12 + 3y) = 3 -5 + 5y + (-12 * -1 + 3y * -1) = 3 -5 + 5y + (12 + -3y) = 3 Reorder the terms: -5 + 12 + 5y + -3y = 3 Combine like terms: -5 + 12 = 7 7 + 5y + -3y = 3 Combine like terms: 5y + -3y = 2y 7 + 2y = 3 Solving 7 + 2y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2y = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 3 + -7 2y = 3 + -7 Combine like terms: 3 + -7 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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