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Simplifying -4(y + 2) = 3y + -8 + 3(3y + 4) Reorder the terms: -4(2 + y) = 3y + -8 + 3(3y + 4) (2 * -4 + y * -4) = 3y + -8 + 3(3y + 4) (-8 + -4y) = 3y + -8 + 3(3y + 4) Reorder the terms: -8 + -4y = 3y + -8 + 3(4 + 3y) -8 + -4y = 3y + -8 + (4 * 3 + 3y * 3) -8 + -4y = 3y + -8 + (12 + 9y) Reorder the terms: -8 + -4y = -8 + 12 + 3y + 9y Combine like terms: -8 + 12 = 4 -8 + -4y = 4 + 3y + 9y Combine like terms: 3y + 9y = 12y -8 + -4y = 4 + 12y Solving -8 + -4y = 4 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -8 + -4y + -12y = 4 + 12y + -12y Combine like terms: -4y + -12y = -16y -8 + -16y = 4 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -16y = 4 + 0 -8 + -16y = 4 Add '8' to each side of the equation. -8 + 8 + -16y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -16y = 4 + 8 -16y = 4 + 8 Combine like terms: 4 + 8 = 12 -16y = 12 Divide each side by '-16'. y = -0.75 Simplifying y = -0.75
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