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Simplifying 4y + -47 = -3(y + -3) Reorder the terms: -47 + 4y = -3(y + -3) Reorder the terms: -47 + 4y = -3(-3 + y) -47 + 4y = (-3 * -3 + y * -3) -47 + 4y = (9 + -3y) Solving -47 + 4y = 9 + -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. -47 + 4y + 3y = 9 + -3y + 3y Combine like terms: 4y + 3y = 7y -47 + 7y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -47 + 7y = 9 + 0 -47 + 7y = 9 Add '47' to each side of the equation. -47 + 47 + 7y = 9 + 47 Combine like terms: -47 + 47 = 0 0 + 7y = 9 + 47 7y = 9 + 47 Combine like terms: 9 + 47 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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