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Simplifying 2(y + -6) + -4y + 7 = -21 Reorder the terms: 2(-6 + y) + -4y + 7 = -21 (-6 * 2 + y * 2) + -4y + 7 = -21 (-12 + 2y) + -4y + 7 = -21 Reorder the terms: -12 + 7 + 2y + -4y = -21 Combine like terms: -12 + 7 = -5 -5 + 2y + -4y = -21 Combine like terms: 2y + -4y = -2y -5 + -2y = -21 Solving -5 + -2y = -21 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2y = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = -21 + 5 -2y = -21 + 5 Combine like terms: -21 + 5 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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