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Simplifying 3y + -37 = 7[y + -7] Reorder the terms: -37 + 3y = 7[y + -7] Reorder the terms: -37 + 3y = 7[-7 + y] -37 + 3y = [-7 * 7 + y * 7] -37 + 3y = [-49 + 7y] Solving -37 + 3y = -49 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -37 + 3y + -7y = -49 + 7y + -7y Combine like terms: 3y + -7y = -4y -37 + -4y = -49 + 7y + -7y Combine like terms: 7y + -7y = 0 -37 + -4y = -49 + 0 -37 + -4y = -49 Add '37' to each side of the equation. -37 + 37 + -4y = -49 + 37 Combine like terms: -37 + 37 = 0 0 + -4y = -49 + 37 -4y = -49 + 37 Combine like terms: -49 + 37 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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