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Simplifying 2(2y + -7) + -8(y + 6) = 31 Reorder the terms: 2(-7 + 2y) + -8(y + 6) = 31 (-7 * 2 + 2y * 2) + -8(y + 6) = 31 (-14 + 4y) + -8(y + 6) = 31 Reorder the terms: -14 + 4y + -8(6 + y) = 31 -14 + 4y + (6 * -8 + y * -8) = 31 -14 + 4y + (-48 + -8y) = 31 Reorder the terms: -14 + -48 + 4y + -8y = 31 Combine like terms: -14 + -48 = -62 -62 + 4y + -8y = 31 Combine like terms: 4y + -8y = -4y -62 + -4y = 31 Solving -62 + -4y = 31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -4y = 31 + 62 Combine like terms: -62 + 62 = 0 0 + -4y = 31 + 62 -4y = 31 + 62 Combine like terms: 31 + 62 = 93 -4y = 93 Divide each side by '-4'. y = -23.25 Simplifying y = -23.25
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