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Simplifying 4y + -7 = 10y + 41 Reorder the terms: -7 + 4y = 10y + 41 Reorder the terms: -7 + 4y = 41 + 10y Solving -7 + 4y = 41 + 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 = 41 + 10y + -10y Combine like terms: 4y + -10y = -6y -7 + -6y = 41 + 10y + -10y Combine like terms: 10y + -10y = 0 -7 + -6y = 41 + 0 -7 + -6y = 41 Add '7' to each side of the equation. -7 + 7 + -6y = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 41 + 7 -6y = 41 + 7 Combine like terms: 41 + 7 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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