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Simplifying 3(2y + -7) = 4(3y + 4) Reorder the terms: 3(-7 + 2y) = 4(3y + 4) (-7 * 3 + 2y * 3) = 4(3y + 4) (-21 + 6y) = 4(3y + 4) Reorder the terms: -21 + 6y = 4(4 + 3y) -21 + 6y = (4 * 4 + 3y * 4) -21 + 6y = (16 + 12y) Solving -21 + 6y = 16 + 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. -21 + 6y + -12y = 16 + 12y + -12y Combine like terms: 6y + -12y = -6y -21 + -6y = 16 + 12y + -12y Combine like terms: 12y + -12y = 0 -21 + -6y = 16 + 0 -21 + -6y = 16 Add '21' to each side of the equation. -21 + 21 + -6y = 16 + 21 Combine like terms: -21 + 21 = 0 0 + -6y = 16 + 21 -6y = 16 + 21 Combine like terms: 16 + 21 = 37 -6y = 37 Divide each side by '-6'. y = -6.166666667 Simplifying y = -6.166666667
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