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Simplifying 5y + -6 = 7 + 4(y + -5) Reorder the terms: -6 + 5y = 7 + 4(y + -5) Reorder the terms: -6 + 5y = 7 + 4(-5 + y) -6 + 5y = 7 + (-5 * 4 + y * 4) -6 + 5y = 7 + (-20 + 4y) Combine like terms: 7 + -20 = -13 -6 + 5y = -13 + 4y Solving -6 + 5y = -13 + 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. -6 + 5y + -4y = -13 + 4y + -4y Combine like terms: 5y + -4y = 1y -6 + 1y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 1y = -13 + 0 -6 + 1y = -13 Add '6' to each side of the equation. -6 + 6 + 1y = -13 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = -13 + 6 1y = -13 + 6 Combine like terms: -13 + 6 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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