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Simplifying -2 + -6(7y + 5) = (3y + 8) + -2 Reorder the terms: -2 + -6(5 + 7y) = (3y + 8) + -2 -2 + (5 * -6 + 7y * -6) = (3y + 8) + -2 -2 + (-30 + -42y) = (3y + 8) + -2 Combine like terms: -2 + -30 = -32 -32 + -42y = (3y + 8) + -2 Reorder the terms: -32 + -42y = (8 + 3y) + -2 Remove parenthesis around (8 + 3y) -32 + -42y = 8 + 3y + -2 Reorder the terms: -32 + -42y = 8 + -2 + 3y Combine like terms: 8 + -2 = 6 -32 + -42y = 6 + 3y Solving -32 + -42y = 6 + 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. -32 + -42y + -3y = 6 + 3y + -3y Combine like terms: -42y + -3y = -45y -32 + -45y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + -45y = 6 + 0 -32 + -45y = 6 Add '32' to each side of the equation. -32 + 32 + -45y = 6 + 32 Combine like terms: -32 + 32 = 0 0 + -45y = 6 + 32 -45y = 6 + 32 Combine like terms: 6 + 32 = 38 -45y = 38 Divide each side by '-45'. y = -0.8444444444 Simplifying y = -0.8444444444
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