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Simplifying -47 + 13y + 8 = 5(3y + -5) + -6 Reorder the terms: -47 + 8 + 13y = 5(3y + -5) + -6 Combine like terms: -47 + 8 = -39 -39 + 13y = 5(3y + -5) + -6 Reorder the terms: -39 + 13y = 5(-5 + 3y) + -6 -39 + 13y = (-5 * 5 + 3y * 5) + -6 -39 + 13y = (-25 + 15y) + -6 Reorder the terms: -39 + 13y = -25 + -6 + 15y Combine like terms: -25 + -6 = -31 -39 + 13y = -31 + 15y Solving -39 + 13y = -31 + 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. -39 + 13y + -15y = -31 + 15y + -15y Combine like terms: 13y + -15y = -2y -39 + -2y = -31 + 15y + -15y Combine like terms: 15y + -15y = 0 -39 + -2y = -31 + 0 -39 + -2y = -31 Add '39' to each side of the equation. -39 + 39 + -2y = -31 + 39 Combine like terms: -39 + 39 = 0 0 + -2y = -31 + 39 -2y = -31 + 39 Combine like terms: -31 + 39 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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