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Simplifying 3(4y + -3) = 7(2y + -1) Reorder the terms: 3(-3 + 4y) = 7(2y + -1) (-3 * 3 + 4y * 3) = 7(2y + -1) (-9 + 12y) = 7(2y + -1) Reorder the terms: -9 + 12y = 7(-1 + 2y) -9 + 12y = (-1 * 7 + 2y * 7) -9 + 12y = (-7 + 14y) Solving -9 + 12y = -7 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -9 + 12y + -14y = -7 + 14y + -14y Combine like terms: 12y + -14y = -2y -9 + -2y = -7 + 14y + -14y Combine like terms: 14y + -14y = 0 -9 + -2y = -7 + 0 -9 + -2y = -7 Add '9' to each side of the equation. -9 + 9 + -2y = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = -7 + 9 -2y = -7 + 9 Combine like terms: -7 + 9 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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