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Simplifying 20y + -5 = 3(y + -47) Reorder the terms: -5 + 20y = 3(y + -47) Reorder the terms: -5 + 20y = 3(-47 + y) -5 + 20y = (-47 * 3 + y * 3) -5 + 20y = (-141 + 3y) Solving -5 + 20y = -141 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -5 + 20y + -3y = -141 + 3y + -3y Combine like terms: 20y + -3y = 17y -5 + 17y = -141 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 17y = -141 + 0 -5 + 17y = -141 Add '5' to each side of the equation. -5 + 5 + 17y = -141 + 5 Combine like terms: -5 + 5 = 0 0 + 17y = -141 + 5 17y = -141 + 5 Combine like terms: -141 + 5 = -136 17y = -136 Divide each side by '17'. y = -8 Simplifying y = -8
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