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Simplifying 7y + -37 = 4(y + -4) Reorder the terms: -37 + 7y = 4(y + -4) Reorder the terms: -37 + 7y = 4(-4 + y) -37 + 7y = (-4 * 4 + y * 4) -37 + 7y = (-16 + 4y) Solving -37 + 7y = -16 + 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 + 7y + -4y = -16 + 4y + -4y Combine like terms: 7y + -4y = 3y -37 + 3y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 -37 + 3y = -16 + 0 -37 + 3y = -16 Add '37' to each side of the equation. -37 + 37 + 3y = -16 + 37 Combine like terms: -37 + 37 = 0 0 + 3y = -16 + 37 3y = -16 + 37 Combine like terms: -16 + 37 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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