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Simplifying 5y + -37 = -4(y + -2) Reorder the terms: -37 + 5y = -4(y + -2) Reorder the terms: -37 + 5y = -4(-2 + y) -37 + 5y = (-2 * -4 + y * -4) -37 + 5y = (8 + -4y) Solving -37 + 5y = 8 + -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 + 5y + 4y = 8 + -4y + 4y Combine like terms: 5y + 4y = 9y -37 + 9y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 -37 + 9y = 8 + 0 -37 + 9y = 8 Add '37' to each side of the equation. -37 + 37 + 9y = 8 + 37 Combine like terms: -37 + 37 = 0 0 + 9y = 8 + 37 9y = 8 + 37 Combine like terms: 8 + 37 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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