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Simplifying -3(2y + 1) + -7 = -4(y + 6) + 2y Reorder the terms: -3(1 + 2y) + -7 = -4(y + 6) + 2y (1 * -3 + 2y * -3) + -7 = -4(y + 6) + 2y (-3 + -6y) + -7 = -4(y + 6) + 2y Reorder the terms: -3 + -7 + -6y = -4(y + 6) + 2y Combine like terms: -3 + -7 = -10 -10 + -6y = -4(y + 6) + 2y Reorder the terms: -10 + -6y = -4(6 + y) + 2y -10 + -6y = (6 * -4 + y * -4) + 2y -10 + -6y = (-24 + -4y) + 2y Combine like terms: -4y + 2y = -2y -10 + -6y = -24 + -2y Solving -10 + -6y = -24 + -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. -10 + -6y + 2y = -24 + -2y + 2y Combine like terms: -6y + 2y = -4y -10 + -4y = -24 + -2y + 2y Combine like terms: -2y + 2y = 0 -10 + -4y = -24 + 0 -10 + -4y = -24 Add '10' to each side of the equation. -10 + 10 + -4y = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = -24 + 10 -4y = -24 + 10 Combine like terms: -24 + 10 = -14 -4y = -14 Divide each side by '-4'. y = 3.5 Simplifying y = 3.5
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