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Simplifying 7y + -3 = 4(6y + -5) Reorder the terms: -3 + 7y = 4(6y + -5) Reorder the terms: -3 + 7y = 4(-5 + 6y) -3 + 7y = (-5 * 4 + 6y * 4) -3 + 7y = (-20 + 24y) Solving -3 + 7y = -20 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -3 + 7y + -24y = -20 + 24y + -24y Combine like terms: 7y + -24y = -17y -3 + -17y = -20 + 24y + -24y Combine like terms: 24y + -24y = 0 -3 + -17y = -20 + 0 -3 + -17y = -20 Add '3' to each side of the equation. -3 + 3 + -17y = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -17y = -20 + 3 -17y = -20 + 3 Combine like terms: -20 + 3 = -17 -17y = -17 Divide each side by '-17'. y = 1 Simplifying y = 1
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