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Simplifying y + 2(y + -6) = -1(2y + -14) + 49 Reorder the terms: y + 2(-6 + y) = -1(2y + -14) + 49 y + (-6 * 2 + y * 2) = -1(2y + -14) + 49 y + (-12 + 2y) = -1(2y + -14) + 49 Reorder the terms: -12 + y + 2y = -1(2y + -14) + 49 Combine like terms: y + 2y = 3y -12 + 3y = -1(2y + -14) + 49 Reorder the terms: -12 + 3y = -1(-14 + 2y) + 49 -12 + 3y = (-14 * -1 + 2y * -1) + 49 -12 + 3y = (14 + -2y) + 49 Reorder the terms: -12 + 3y = 14 + 49 + -2y Combine like terms: 14 + 49 = 63 -12 + 3y = 63 + -2y Solving -12 + 3y = 63 + -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. -12 + 3y + 2y = 63 + -2y + 2y Combine like terms: 3y + 2y = 5y -12 + 5y = 63 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 5y = 63 + 0 -12 + 5y = 63 Add '12' to each side of the equation. -12 + 12 + 5y = 63 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 63 + 12 5y = 63 + 12 Combine like terms: 63 + 12 = 75 5y = 75 Divide each side by '5'. y = 15 Simplifying y = 15
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