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Simplifying 5y + 6(3 + -1y) = 4y + -7 5y + (3 * 6 + -1y * 6) = 4y + -7 5y + (18 + -6y) = 4y + -7 Reorder the terms: 18 + 5y + -6y = 4y + -7 Combine like terms: 5y + -6y = -1y 18 + -1y = 4y + -7 Reorder the terms: 18 + -1y = -7 + 4y Solving 18 + -1y = -7 + 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. 18 + -1y + -4y = -7 + 4y + -4y Combine like terms: -1y + -4y = -5y 18 + -5y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + -5y = -7 + 0 18 + -5y = -7 Add '-18' to each side of the equation. 18 + -18 + -5y = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -5y = -7 + -18 -5y = -7 + -18 Combine like terms: -7 + -18 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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