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Simplifying 6y + -38 = -4(y + -8) Reorder the terms: -38 + 6y = -4(y + -8) Reorder the terms: -38 + 6y = -4(-8 + y) -38 + 6y = (-8 * -4 + y * -4) -38 + 6y = (32 + -4y) Solving -38 + 6y = 32 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -38 + 6y + 4y = 32 + -4y + 4y Combine like terms: 6y + 4y = 10y -38 + 10y = 32 + -4y + 4y Combine like terms: -4y + 4y = 0 -38 + 10y = 32 + 0 -38 + 10y = 32 Add '38' to each side of the equation. -38 + 38 + 10y = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 10y = 32 + 38 10y = 32 + 38 Combine like terms: 32 + 38 = 70 10y = 70 Divide each side by '10'. y = 7 Simplifying y = 7
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