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Simplifying 6(x + 7) + -3y = 6x Reorder the terms: 6(7 + x) + -3y = 6x (7 * 6 + x * 6) + -3y = 6x (42 + 6x) + -3y = 6x Add '-6x' to each side of the equation. 42 + 6x + -6x + -3y = 6x + -6x Combine like terms: 6x + -6x = 0 42 + 0 + -3y = 6x + -6x 42 + -3y = 6x + -6x Combine like terms: 6x + -6x = 0 42 + -3y = 0 Solving 42 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -3y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -3y = 0 + -42 -3y = 0 + -42 Combine like terms: 0 + -42 = -42 -3y = -42 Divide each side by '-3'. y = 14 Simplifying y = 14
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