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Simplifying 6(2y + -8) = -8(y + -4) Reorder the terms: 6(-8 + 2y) = -8(y + -4) (-8 * 6 + 2y * 6) = -8(y + -4) (-48 + 12y) = -8(y + -4) Reorder the terms: -48 + 12y = -8(-4 + y) -48 + 12y = (-4 * -8 + y * -8) -48 + 12y = (32 + -8y) Solving -48 + 12y = 32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -48 + 12y + 8y = 32 + -8y + 8y Combine like terms: 12y + 8y = 20y -48 + 20y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 -48 + 20y = 32 + 0 -48 + 20y = 32 Add '48' to each side of the equation. -48 + 48 + 20y = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 20y = 32 + 48 20y = 32 + 48 Combine like terms: 32 + 48 = 80 20y = 80 Divide each side by '20'. y = 4 Simplifying y = 4
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