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Simplifying 4y + 47 = 10y + -7 Reorder the terms: 47 + 4y = 10y + -7 Reorder the terms: 47 + 4y = -7 + 10y Solving 47 + 4y = -7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 47 + 4y + -10y = -7 + 10y + -10y Combine like terms: 4y + -10y = -6y 47 + -6y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 47 + -6y = -7 + 0 47 + -6y = -7 Add '-47' to each side of the equation. 47 + -47 + -6y = -7 + -47 Combine like terms: 47 + -47 = 0 0 + -6y = -7 + -47 -6y = -7 + -47 Combine like terms: -7 + -47 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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