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Simplifying 2(y + -4) = 4y + 6 + -4(-3y + -1) Reorder the terms: 2(-4 + y) = 4y + 6 + -4(-3y + -1) (-4 * 2 + y * 2) = 4y + 6 + -4(-3y + -1) (-8 + 2y) = 4y + 6 + -4(-3y + -1) Reorder the terms: -8 + 2y = 4y + 6 + -4(-1 + -3y) -8 + 2y = 4y + 6 + (-1 * -4 + -3y * -4) -8 + 2y = 4y + 6 + (4 + 12y) Reorder the terms: -8 + 2y = 6 + 4 + 4y + 12y Combine like terms: 6 + 4 = 10 -8 + 2y = 10 + 4y + 12y Combine like terms: 4y + 12y = 16y -8 + 2y = 10 + 16y Solving -8 + 2y = 10 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -8 + 2y + -16y = 10 + 16y + -16y Combine like terms: 2y + -16y = -14y -8 + -14y = 10 + 16y + -16y Combine like terms: 16y + -16y = 0 -8 + -14y = 10 + 0 -8 + -14y = 10 Add '8' to each side of the equation. -8 + 8 + -14y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -14y = 10 + 8 -14y = 10 + 8 Combine like terms: 10 + 8 = 18 -14y = 18 Divide each side by '-14'. y = -1.285714286 Simplifying y = -1.285714286
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