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Simplifying -7 + -3(-1y + 9) = -7(2y + 6) + -3 Reorder the terms: -7 + -3(9 + -1y) = -7(2y + 6) + -3 -7 + (9 * -3 + -1y * -3) = -7(2y + 6) + -3 -7 + (-27 + 3y) = -7(2y + 6) + -3 Combine like terms: -7 + -27 = -34 -34 + 3y = -7(2y + 6) + -3 Reorder the terms: -34 + 3y = -7(6 + 2y) + -3 -34 + 3y = (6 * -7 + 2y * -7) + -3 -34 + 3y = (-42 + -14y) + -3 Reorder the terms: -34 + 3y = -42 + -3 + -14y Combine like terms: -42 + -3 = -45 -34 + 3y = -45 + -14y Solving -34 + 3y = -45 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -34 + 3y + 14y = -45 + -14y + 14y Combine like terms: 3y + 14y = 17y -34 + 17y = -45 + -14y + 14y Combine like terms: -14y + 14y = 0 -34 + 17y = -45 + 0 -34 + 17y = -45 Add '34' to each side of the equation. -34 + 34 + 17y = -45 + 34 Combine like terms: -34 + 34 = 0 0 + 17y = -45 + 34 17y = -45 + 34 Combine like terms: -45 + 34 = -11 17y = -11 Divide each side by '17'. y = -0.6470588235 Simplifying y = -0.6470588235
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