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Simplifying 5 + 5(y + -2) = 4(y + 3) Reorder the terms: 5 + 5(-2 + y) = 4(y + 3) 5 + (-2 * 5 + y * 5) = 4(y + 3) 5 + (-10 + 5y) = 4(y + 3) Combine like terms: 5 + -10 = -5 -5 + 5y = 4(y + 3) Reorder the terms: -5 + 5y = 4(3 + y) -5 + 5y = (3 * 4 + y * 4) -5 + 5y = (12 + 4y) Solving -5 + 5y = 12 + 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. -5 + 5y + -4y = 12 + 4y + -4y Combine like terms: 5y + -4y = 1y -5 + 1y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -5 + 1y = 12 + 0 -5 + 1y = 12 Add '5' to each side of the equation. -5 + 5 + 1y = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = 12 + 5 1y = 12 + 5 Combine like terms: 12 + 5 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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