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Simplifying 4y + 2 + -4(-3y + -3) = 2(y + -2) Reorder the terms: 4y + 2 + -4(-3 + -3y) = 2(y + -2) 4y + 2 + (-3 * -4 + -3y * -4) = 2(y + -2) 4y + 2 + (12 + 12y) = 2(y + -2) Reorder the terms: 2 + 12 + 4y + 12y = 2(y + -2) Combine like terms: 2 + 12 = 14 14 + 4y + 12y = 2(y + -2) Combine like terms: 4y + 12y = 16y 14 + 16y = 2(y + -2) Reorder the terms: 14 + 16y = 2(-2 + y) 14 + 16y = (-2 * 2 + y * 2) 14 + 16y = (-4 + 2y) Solving 14 + 16y = -4 + 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. 14 + 16y + -2y = -4 + 2y + -2y Combine like terms: 16y + -2y = 14y 14 + 14y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + 14y = -4 + 0 14 + 14y = -4 Add '-14' to each side of the equation. 14 + -14 + 14y = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 14y = -4 + -14 14y = -4 + -14 Combine like terms: -4 + -14 = -18 14y = -18 Divide each side by '14'. y = -1.285714286 Simplifying y = -1.285714286
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