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Simplifying -7y + -37 = 2(y + 4) Reorder the terms: -37 + -7y = 2(y + 4) Reorder the terms: -37 + -7y = 2(4 + y) -37 + -7y = (4 * 2 + y * 2) -37 + -7y = (8 + 2y) Solving -37 + -7y = 8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -37 + -7y + -2y = 8 + 2y + -2y Combine like terms: -7y + -2y = -9y -37 + -9y = 8 + 2y + -2y Combine like terms: 2y + -2y = 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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