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Simplifying -55 + 12y + 8 = 5(3y + -4) + -6 Reorder the terms: -55 + 8 + 12y = 5(3y + -4) + -6 Combine like terms: -55 + 8 = -47 -47 + 12y = 5(3y + -4) + -6 Reorder the terms: -47 + 12y = 5(-4 + 3y) + -6 -47 + 12y = (-4 * 5 + 3y * 5) + -6 -47 + 12y = (-20 + 15y) + -6 Reorder the terms: -47 + 12y = -20 + -6 + 15y Combine like terms: -20 + -6 = -26 -47 + 12y = -26 + 15y Solving -47 + 12y = -26 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -47 + 12y + -15y = -26 + 15y + -15y Combine like terms: 12y + -15y = -3y -47 + -3y = -26 + 15y + -15y Combine like terms: 15y + -15y = 0 -47 + -3y = -26 + 0 -47 + -3y = -26 Add '47' to each side of the equation. -47 + 47 + -3y = -26 + 47 Combine like terms: -47 + 47 = 0 0 + -3y = -26 + 47 -3y = -26 + 47 Combine like terms: -26 + 47 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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