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Simplifying (2y + -7) + -1(4y + 6) = 0 Reorder the terms: (-7 + 2y) + -1(4y + 6) = 0 Remove parenthesis around (-7 + 2y) -7 + 2y + -1(4y + 6) = 0 Reorder the terms: -7 + 2y + -1(6 + 4y) = 0 -7 + 2y + (6 * -1 + 4y * -1) = 0 -7 + 2y + (-6 + -4y) = 0 Reorder the terms: -7 + -6 + 2y + -4y = 0 Combine like terms: -7 + -6 = -13 -13 + 2y + -4y = 0 Combine like terms: 2y + -4y = -2y -13 + -2y = 0 Solving -13 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2y = 0 + 13 -2y = 0 + 13 Combine like terms: 0 + 13 = 13 -2y = 13 Divide each side by '-2'. y = -6.5 Simplifying y = -6.5
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