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Simplifying -4(y + -3) + 5(y + -4) = 12 + 7y Reorder the terms: -4(-3 + y) + 5(y + -4) = 12 + 7y (-3 * -4 + y * -4) + 5(y + -4) = 12 + 7y (12 + -4y) + 5(y + -4) = 12 + 7y Reorder the terms: 12 + -4y + 5(-4 + y) = 12 + 7y 12 + -4y + (-4 * 5 + y * 5) = 12 + 7y 12 + -4y + (-20 + 5y) = 12 + 7y Reorder the terms: 12 + -20 + -4y + 5y = 12 + 7y Combine like terms: 12 + -20 = -8 -8 + -4y + 5y = 12 + 7y Combine like terms: -4y + 5y = 1y -8 + 1y = 12 + 7y Solving -8 + 1y = 12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -8 + 1y + -7y = 12 + 7y + -7y Combine like terms: 1y + -7y = -6y -8 + -6y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + -6y = 12 + 0 -8 + -6y = 12 Add '8' to each side of the equation. -8 + 8 + -6y = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -6y = 12 + 8 -6y = 12 + 8 Combine like terms: 12 + 8 = 20 -6y = 20 Divide each side by '-6'. y = -3.333333333 Simplifying y = -3.333333333
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