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Simplifying 3(y + -4) + 5(y + 1) = 25 Reorder the terms: 3(-4 + y) + 5(y + 1) = 25 (-4 * 3 + y * 3) + 5(y + 1) = 25 (-12 + 3y) + 5(y + 1) = 25 Reorder the terms: -12 + 3y + 5(1 + y) = 25 -12 + 3y + (1 * 5 + y * 5) = 25 -12 + 3y + (5 + 5y) = 25 Reorder the terms: -12 + 5 + 3y + 5y = 25 Combine like terms: -12 + 5 = -7 -7 + 3y + 5y = 25 Combine like terms: 3y + 5y = 8y -7 + 8y = 25 Solving -7 + 8y = 25 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8y = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 8y = 25 + 7 8y = 25 + 7 Combine like terms: 25 + 7 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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