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Simplifying 3(4y + -7) = 8(2y + 3) Reorder the terms: 3(-7 + 4y) = 8(2y + 3) (-7 * 3 + 4y * 3) = 8(2y + 3) (-21 + 12y) = 8(2y + 3) Reorder the terms: -21 + 12y = 8(3 + 2y) -21 + 12y = (3 * 8 + 2y * 8) -21 + 12y = (24 + 16y) Solving -21 + 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. -21 + 12y + -16y = 24 + 16y + -16y Combine like terms: 12y + -16y = -4y -21 + -4y = 24 + 16y + -16y Combine like terms: 16y + -16y = 0 -21 + -4y = 24 + 0 -21 + -4y = 24 Add '21' to each side of the equation. -21 + 21 + -4y = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -4y = 24 + 21 -4y = 24 + 21 Combine like terms: 24 + 21 = 45 -4y = 45 Divide each side by '-4'. y = -11.25 Simplifying y = -11.25
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