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Simplifying -4y + -47 = 6y + 13 Reorder the terms: -47 + -4y = 6y + 13 Reorder the terms: -47 + -4y = 13 + 6y Solving -47 + -4y = 13 + 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. -47 + -4y + -6y = 13 + 6y + -6y Combine like terms: -4y + -6y = -10y -47 + -10y = 13 + 6y + -6y Combine like terms: 6y + -6y = 0 -47 + -10y = 13 + 0 -47 + -10y = 13 Add '47' to each side of the equation. -47 + 47 + -10y = 13 + 47 Combine like terms: -47 + 47 = 0 0 + -10y = 13 + 47 -10y = 13 + 47 Combine like terms: 13 + 47 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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