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Simplifying 3y + -37 = -5(y + -7) Reorder the terms: -37 + 3y = -5(y + -7) Reorder the terms: -37 + 3y = -5(-7 + y) -37 + 3y = (-7 * -5 + y * -5) -37 + 3y = (35 + -5y) Solving -37 + 3y = 35 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -37 + 3y + 5y = 35 + -5y + 5y Combine like terms: 3y + 5y = 8y -37 + 8y = 35 + -5y + 5y Combine like terms: -5y + 5y = 0 -37 + 8y = 35 + 0 -37 + 8y = 35 Add '37' to each side of the equation. -37 + 37 + 8y = 35 + 37 Combine like terms: -37 + 37 = 0 0 + 8y = 35 + 37 8y = 35 + 37 Combine like terms: 35 + 37 = 72 8y = 72 Divide each side by '8'. y = 9 Simplifying y = 9
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