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Simplifying 3y + -1(4y + 4) = 12y + -7(2y + -1) Reorder the terms: 3y + -1(4 + 4y) = 12y + -7(2y + -1) 3y + (4 * -1 + 4y * -1) = 12y + -7(2y + -1) 3y + (-4 + -4y) = 12y + -7(2y + -1) Reorder the terms: -4 + 3y + -4y = 12y + -7(2y + -1) Combine like terms: 3y + -4y = -1y -4 + -1y = 12y + -7(2y + -1) Reorder the terms: -4 + -1y = 12y + -7(-1 + 2y) -4 + -1y = 12y + (-1 * -7 + 2y * -7) -4 + -1y = 12y + (7 + -14y) Reorder the terms: -4 + -1y = 7 + 12y + -14y Combine like terms: 12y + -14y = -2y -4 + -1y = 7 + -2y Solving -4 + -1y = 7 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -4 + -1y + 2y = 7 + -2y + 2y Combine like terms: -1y + 2y = 1y -4 + 1y = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 1y = 7 + 0 -4 + 1y = 7 Add '4' to each side of the equation. -4 + 4 + 1y = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 1y = 7 + 4 1y = 7 + 4 Combine like terms: 7 + 4 = 11 1y = 11 Divide each side by '1'. y = 11 Simplifying y = 11
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