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Simplifying -5(3y + 4) + -12 = -6(y + 8) + 3y Reorder the terms: -5(4 + 3y) + -12 = -6(y + 8) + 3y (4 * -5 + 3y * -5) + -12 = -6(y + 8) + 3y (-20 + -15y) + -12 = -6(y + 8) + 3y Reorder the terms: -20 + -12 + -15y = -6(y + 8) + 3y Combine like terms: -20 + -12 = -32 -32 + -15y = -6(y + 8) + 3y Reorder the terms: -32 + -15y = -6(8 + y) + 3y -32 + -15y = (8 * -6 + y * -6) + 3y -32 + -15y = (-48 + -6y) + 3y Combine like terms: -6y + 3y = -3y -32 + -15y = -48 + -3y Solving -32 + -15y = -48 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -32 + -15y + 3y = -48 + -3y + 3y Combine like terms: -15y + 3y = -12y -32 + -12y = -48 + -3y + 3y Combine like terms: -3y + 3y = 0 -32 + -12y = -48 + 0 -32 + -12y = -48 Add '32' to each side of the equation. -32 + 32 + -12y = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -12y = -48 + 32 -12y = -48 + 32 Combine like terms: -48 + 32 = -16 -12y = -16 Divide each side by '-12'. y = 1.333333333 Simplifying y = 1.333333333
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