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Simplifying 5y + -7 = 9 + 4(y + -2) Reorder the terms: -7 + 5y = 9 + 4(y + -2) Reorder the terms: -7 + 5y = 9 + 4(-2 + y) -7 + 5y = 9 + (-2 * 4 + y * 4) -7 + 5y = 9 + (-8 + 4y) Combine like terms: 9 + -8 = 1 -7 + 5y = 1 + 4y Solving -7 + 5y = 1 + 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. -7 + 5y + -4y = 1 + 4y + -4y Combine like terms: 5y + -4y = 1y -7 + 1y = 1 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + 1y = 1 + 0 -7 + 1y = 1 Add '7' to each side of the equation. -7 + 7 + 1y = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 1 + 7 1y = 1 + 7 Combine like terms: 1 + 7 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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