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Simplifying -5(2y + 4) + -14 = -8(y + 6) + 2y Reorder the terms: -5(4 + 2y) + -14 = -8(y + 6) + 2y (4 * -5 + 2y * -5) + -14 = -8(y + 6) + 2y (-20 + -10y) + -14 = -8(y + 6) + 2y Reorder the terms: -20 + -14 + -10y = -8(y + 6) + 2y Combine like terms: -20 + -14 = -34 -34 + -10y = -8(y + 6) + 2y Reorder the terms: -34 + -10y = -8(6 + y) + 2y -34 + -10y = (6 * -8 + y * -8) + 2y -34 + -10y = (-48 + -8y) + 2y Combine like terms: -8y + 2y = -6y -34 + -10y = -48 + -6y Solving -34 + -10y = -48 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -34 + -10y + 6y = -48 + -6y + 6y Combine like terms: -10y + 6y = -4y -34 + -4y = -48 + -6y + 6y Combine like terms: -6y + 6y = 0 -34 + -4y = -48 + 0 -34 + -4y = -48 Add '34' to each side of the equation. -34 + 34 + -4y = -48 + 34 Combine like terms: -34 + 34 = 0 0 + -4y = -48 + 34 -4y = -48 + 34 Combine like terms: -48 + 34 = -14 -4y = -14 Divide each side by '-4'. y = 3.5 Simplifying y = 3.5
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