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Simplifying -3(4y + -3) + 4y = 3 + 3(2y + -4) Reorder the terms: -3(-3 + 4y) + 4y = 3 + 3(2y + -4) (-3 * -3 + 4y * -3) + 4y = 3 + 3(2y + -4) (9 + -12y) + 4y = 3 + 3(2y + -4) Combine like terms: -12y + 4y = -8y 9 + -8y = 3 + 3(2y + -4) Reorder the terms: 9 + -8y = 3 + 3(-4 + 2y) 9 + -8y = 3 + (-4 * 3 + 2y * 3) 9 + -8y = 3 + (-12 + 6y) Combine like terms: 3 + -12 = -9 9 + -8y = -9 + 6y Solving 9 + -8y = -9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 9 + -8y + -6y = -9 + 6y + -6y Combine like terms: -8y + -6y = -14y 9 + -14y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -14y = -9 + 0 9 + -14y = -9 Add '-9' to each side of the equation. 9 + -9 + -14y = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -14y = -9 + -9 -14y = -9 + -9 Combine like terms: -9 + -9 = -18 -14y = -18 Divide each side by '-14'. y = 1.285714286 Simplifying y = 1.285714286
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