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Simplifying 12y + -7y = 17y + -5(3 + -4y) Combine like terms: 12y + -7y = 5y 5y = 17y + -5(3 + -4y) 5y = 17y + (3 * -5 + -4y * -5) 5y = 17y + (-15 + 20y) Reorder the terms: 5y = -15 + 17y + 20y Combine like terms: 17y + 20y = 37y 5y = -15 + 37y Solving 5y = -15 + 37y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37y' to each side of the equation. 5y + -37y = -15 + 37y + -37y Combine like terms: 5y + -37y = -32y -32y = -15 + 37y + -37y Combine like terms: 37y + -37y = 0 -32y = -15 + 0 -32y = -15 Divide each side by '-32'. y = 0.46875 Simplifying y = 0.46875
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