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Simplifying 2(y + -4) + 2 + -6(y + 7) = 0 Reorder the terms: 2(-4 + y) + 2 + -6(y + 7) = 0 (-4 * 2 + y * 2) + 2 + -6(y + 7) = 0 (-8 + 2y) + 2 + -6(y + 7) = 0 Reorder the terms: -8 + 2y + 2 + -6(7 + y) = 0 -8 + 2y + 2 + (7 * -6 + y * -6) = 0 -8 + 2y + 2 + (-42 + -6y) = 0 Reorder the terms: -8 + 2 + -42 + 2y + -6y = 0 Combine like terms: -8 + 2 = -6 -6 + -42 + 2y + -6y = 0 Combine like terms: -6 + -42 = -48 -48 + 2y + -6y = 0 Combine like terms: 2y + -6y = -4y -48 + -4y = 0 Solving -48 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -4y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -4y = 0 + 48 -4y = 0 + 48 Combine like terms: 0 + 48 = 48 -4y = 48 Divide each side by '-4'. y = -12 Simplifying y = -12
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