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Simplifying 7(y + -6) = 3y + -10 Reorder the terms: 7(-6 + y) = 3y + -10 (-6 * 7 + y * 7) = 3y + -10 (-42 + 7y) = 3y + -10 Reorder the terms: -42 + 7y = -10 + 3y Solving -42 + 7y = -10 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -42 + 7y + -3y = -10 + 3y + -3y Combine like terms: 7y + -3y = 4y -42 + 4y = -10 + 3y + -3y Combine like terms: 3y + -3y = 0 -42 + 4y = -10 + 0 -42 + 4y = -10 Add '42' to each side of the equation. -42 + 42 + 4y = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = -10 + 42 4y = -10 + 42 Combine like terms: -10 + 42 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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