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Simplifying -12y + -3 = -5(2y + -7) Reorder the terms: -3 + -12y = -5(2y + -7) Reorder the terms: -3 + -12y = -5(-7 + 2y) -3 + -12y = (-7 * -5 + 2y * -5) -3 + -12y = (35 + -10y) Solving -3 + -12y = 35 + -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. -3 + -12y + 10y = 35 + -10y + 10y Combine like terms: -12y + 10y = -2y -3 + -2y = 35 + -10y + 10y Combine like terms: -10y + 10y = 0 -3 + -2y = 35 + 0 -3 + -2y = 35 Add '3' to each side of the equation. -3 + 3 + -2y = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 35 + 3 -2y = 35 + 3 Combine like terms: 35 + 3 = 38 -2y = 38 Divide each side by '-2'. y = -19 Simplifying y = -19
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