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Simplifying -6(3y + -3) + 6y = 4(y + 4) Reorder the terms: -6(-3 + 3y) + 6y = 4(y + 4) (-3 * -6 + 3y * -6) + 6y = 4(y + 4) (18 + -18y) + 6y = 4(y + 4) Combine like terms: -18y + 6y = -12y 18 + -12y = 4(y + 4) Reorder the terms: 18 + -12y = 4(4 + y) 18 + -12y = (4 * 4 + y * 4) 18 + -12y = (16 + 4y) Solving 18 + -12y = 16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 18 + -12y + -4y = 16 + 4y + -4y Combine like terms: -12y + -4y = -16y 18 + -16y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + -16y = 16 + 0 18 + -16y = 16 Add '-18' to each side of the equation. 18 + -18 + -16y = 16 + -18 Combine like terms: 18 + -18 = 0 0 + -16y = 16 + -18 -16y = 16 + -18 Combine like terms: 16 + -18 = -2 -16y = -2 Divide each side by '-16'. y = 0.125 Simplifying y = 0.125
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