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Simplifying 9y + -37 = 4(y + -8) Reorder the terms: -37 + 9y = 4(y + -8) Reorder the terms: -37 + 9y = 4(-8 + y) -37 + 9y = (-8 * 4 + y * 4) -37 + 9y = (-32 + 4y) Solving -37 + 9y = -32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -37 + 9y + -4y = -32 + 4y + -4y Combine like terms: 9y + -4y = 5y -37 + 5y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 -37 + 5y = -32 + 0 -37 + 5y = -32 Add '37' to each side of the equation. -37 + 37 + 5y = -32 + 37 Combine like terms: -37 + 37 = 0 0 + 5y = -32 + 37 5y = -32 + 37 Combine like terms: -32 + 37 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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