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Simplifying -7(-2y + 3) + -2y = 2(y + -5) + -6 Reorder the terms: -7(3 + -2y) + -2y = 2(y + -5) + -6 (3 * -7 + -2y * -7) + -2y = 2(y + -5) + -6 (-21 + 14y) + -2y = 2(y + -5) + -6 Combine like terms: 14y + -2y = 12y -21 + 12y = 2(y + -5) + -6 Reorder the terms: -21 + 12y = 2(-5 + y) + -6 -21 + 12y = (-5 * 2 + y * 2) + -6 -21 + 12y = (-10 + 2y) + -6 Reorder the terms: -21 + 12y = -10 + -6 + 2y Combine like terms: -10 + -6 = -16 -21 + 12y = -16 + 2y Solving -21 + 12y = -16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -21 + 12y + -2y = -16 + 2y + -2y Combine like terms: 12y + -2y = 10y -21 + 10y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + 10y = -16 + 0 -21 + 10y = -16 Add '21' to each side of the equation. -21 + 21 + 10y = -16 + 21 Combine like terms: -21 + 21 = 0 0 + 10y = -16 + 21 10y = -16 + 21 Combine like terms: -16 + 21 = 5 10y = 5 Divide each side by '10'. y = 0.5 Simplifying y = 0.5
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