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Simplifying 5y + -3 = 7 + 4(y + -2) Reorder the terms: -3 + 5y = 7 + 4(y + -2) Reorder the terms: -3 + 5y = 7 + 4(-2 + y) -3 + 5y = 7 + (-2 * 4 + y * 4) -3 + 5y = 7 + (-8 + 4y) Combine like terms: 7 + -8 = -1 -3 + 5y = -1 + 4y Solving -3 + 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. -3 + 5y + -4y = -1 + 4y + -4y Combine like terms: 5y + -4y = 1y -3 + 1y = -1 + 4y + -4y Combine like terms: 4y + -4y = 0 -3 + 1y = -1 + 0 -3 + 1y = -1 Add '3' to each side of the equation. -3 + 3 + 1y = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = -1 + 3 1y = -1 + 3 Combine like terms: -1 + 3 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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