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Simplifying 4y + -7 = 10y + 47 Reorder the terms: -7 + 4y = 10y + 47 Reorder the terms: -7 + 4y = 47 + 10y Solving -7 + 4y = 47 + 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. -7 + 4y + -10y = 47 + 10y + -10y Combine like terms: 4y + -10y = -6y -7 + -6y = 47 + 10y + -10y Combine like terms: 10y + -10y = 0 -7 + -6y = 47 + 0 -7 + -6y = 47 Add '7' to each side of the equation. -7 + 7 + -6y = 47 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 47 + 7 -6y = 47 + 7 Combine like terms: 47 + 7 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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