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