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Simplifying -7(y + -1) = 2(y + 3) + 3y Reorder the terms: -7(-1 + y) = 2(y + 3) + 3y (-1 * -7 + y * -7) = 2(y + 3) + 3y (7 + -7y) = 2(y + 3) + 3y Reorder the terms: 7 + -7y = 2(3 + y) + 3y 7 + -7y = (3 * 2 + y * 2) + 3y 7 + -7y = (6 + 2y) + 3y Combine like terms: 2y + 3y = 5y 7 + -7y = 6 + 5y Solving 7 + -7y = 6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 7 + -7y + -5y = 6 + 5y + -5y Combine like terms: -7y + -5y = -12y 7 + -12y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -12y = 6 + 0 7 + -12y = 6 Add '-7' to each side of the equation. 7 + -7 + -12y = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -12y = 6 + -7 -12y = 6 + -7 Combine like terms: 6 + -7 = -1 -12y = -1 Divide each side by '-12'. y = 0.08333333333 Simplifying y = 0.08333333333
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