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Simplifying 6(y + -7) = 25y + -4 Reorder the terms: 6(-7 + y) = 25y + -4 (-7 * 6 + y * 6) = 25y + -4 (-42 + 6y) = 25y + -4 Reorder the terms: -42 + 6y = -4 + 25y Solving -42 + 6y = -4 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -42 + 6y + -25y = -4 + 25y + -25y Combine like terms: 6y + -25y = -19y -42 + -19y = -4 + 25y + -25y Combine like terms: 25y + -25y = 0 -42 + -19y = -4 + 0 -42 + -19y = -4 Add '42' to each side of the equation. -42 + 42 + -19y = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -19y = -4 + 42 -19y = -4 + 42 Combine like terms: -4 + 42 = 38 -19y = 38 Divide each side by '-19'. y = -2 Simplifying y = -2
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