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Simplifying 5y + -6(2y + 7) = -49 Reorder the terms: 5y + -6(7 + 2y) = -49 5y + (7 * -6 + 2y * -6) = -49 5y + (-42 + -12y) = -49 Reorder the terms: -42 + 5y + -12y = -49 Combine like terms: 5y + -12y = -7y -42 + -7y = -49 Solving -42 + -7y = -49 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 + -7y = -49 + 42 Combine like terms: -42 + 42 = 0 0 + -7y = -49 + 42 -7y = -49 + 42 Combine like terms: -49 + 42 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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