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Simplifying -7(-3y + 3) + -1y = 2(y + -6) + -1 Reorder the terms: -7(3 + -3y) + -1y = 2(y + -6) + -1 (3 * -7 + -3y * -7) + -1y = 2(y + -6) + -1 (-21 + 21y) + -1y = 2(y + -6) + -1 Combine like terms: 21y + -1y = 20y -21 + 20y = 2(y + -6) + -1 Reorder the terms: -21 + 20y = 2(-6 + y) + -1 -21 + 20y = (-6 * 2 + y * 2) + -1 -21 + 20y = (-12 + 2y) + -1 Reorder the terms: -21 + 20y = -12 + -1 + 2y Combine like terms: -12 + -1 = -13 -21 + 20y = -13 + 2y Solving -21 + 20y = -13 + 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 + 20y + -2y = -13 + 2y + -2y Combine like terms: 20y + -2y = 18y -21 + 18y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + 18y = -13 + 0 -21 + 18y = -13 Add '21' to each side of the equation. -21 + 21 + 18y = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 18y = -13 + 21 18y = -13 + 21 Combine like terms: -13 + 21 = 8 18y = 8 Divide each side by '18'. y = 0.4444444444 Simplifying y = 0.4444444444
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