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Simplifying 2(y + -7) + -8 = -2(-8y + 2) + -6y Reorder the terms: 2(-7 + y) + -8 = -2(-8y + 2) + -6y (-7 * 2 + y * 2) + -8 = -2(-8y + 2) + -6y (-14 + 2y) + -8 = -2(-8y + 2) + -6y Reorder the terms: -14 + -8 + 2y = -2(-8y + 2) + -6y Combine like terms: -14 + -8 = -22 -22 + 2y = -2(-8y + 2) + -6y Reorder the terms: -22 + 2y = -2(2 + -8y) + -6y -22 + 2y = (2 * -2 + -8y * -2) + -6y -22 + 2y = (-4 + 16y) + -6y Combine like terms: 16y + -6y = 10y -22 + 2y = -4 + 10y Solving -22 + 2y = -4 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -22 + 2y + -10y = -4 + 10y + -10y Combine like terms: 2y + -10y = -8y -22 + -8y = -4 + 10y + -10y Combine like terms: 10y + -10y = 0 -22 + -8y = -4 + 0 -22 + -8y = -4 Add '22' to each side of the equation. -22 + 22 + -8y = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -8y = -4 + 22 -8y = -4 + 22 Combine like terms: -4 + 22 = 18 -8y = 18 Divide each side by '-8'. y = -2.25 Simplifying y = -2.25
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