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Simplifying -4(3y + 4) + -5 = -6(y + 6) + 3 Reorder the terms: -4(4 + 3y) + -5 = -6(y + 6) + 3 (4 * -4 + 3y * -4) + -5 = -6(y + 6) + 3 (-16 + -12y) + -5 = -6(y + 6) + 3 Reorder the terms: -16 + -5 + -12y = -6(y + 6) + 3 Combine like terms: -16 + -5 = -21 -21 + -12y = -6(y + 6) + 3 Reorder the terms: -21 + -12y = -6(6 + y) + 3 -21 + -12y = (6 * -6 + y * -6) + 3 -21 + -12y = (-36 + -6y) + 3 Reorder the terms: -21 + -12y = -36 + 3 + -6y Combine like terms: -36 + 3 = -33 -21 + -12y = -33 + -6y Solving -21 + -12y = -33 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -21 + -12y + 6y = -33 + -6y + 6y Combine like terms: -12y + 6y = -6y -21 + -6y = -33 + -6y + 6y Combine like terms: -6y + 6y = 0 -21 + -6y = -33 + 0 -21 + -6y = -33 Add '21' to each side of the equation. -21 + 21 + -6y = -33 + 21 Combine like terms: -21 + 21 = 0 0 + -6y = -33 + 21 -6y = -33 + 21 Combine like terms: -33 + 21 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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