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Simplifying 4(3y + -2) = 8(2y + 3) Reorder the terms: 4(-2 + 3y) = 8(2y + 3) (-2 * 4 + 3y * 4) = 8(2y + 3) (-8 + 12y) = 8(2y + 3) Reorder the terms: -8 + 12y = 8(3 + 2y) -8 + 12y = (3 * 8 + 2y * 8) -8 + 12y = (24 + 16y) Solving -8 + 12y = 24 + 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 + 12y + -16y = 24 + 16y + -16y Combine like terms: 12y + -16y = -4y -8 + -4y = 24 + 16y + -16y Combine like terms: 16y + -16y = 0 -8 + -4y = 24 + 0 -8 + -4y = 24 Add '8' to each side of the equation. -8 + 8 + -4y = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 24 + 8 -4y = 24 + 8 Combine like terms: 24 + 8 = 32 -4y = 32 Divide each side by '-4'. y = -8 Simplifying y = -8
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