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Simplifying 4(y + -3) + -6(y + 1) = 4 Reorder the terms: 4(-3 + y) + -6(y + 1) = 4 (-3 * 4 + y * 4) + -6(y + 1) = 4 (-12 + 4y) + -6(y + 1) = 4 Reorder the terms: -12 + 4y + -6(1 + y) = 4 -12 + 4y + (1 * -6 + y * -6) = 4 -12 + 4y + (-6 + -6y) = 4 Reorder the terms: -12 + -6 + 4y + -6y = 4 Combine like terms: -12 + -6 = -18 -18 + 4y + -6y = 4 Combine like terms: 4y + -6y = -2y -18 + -2y = 4 Solving -18 + -2y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -2y = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -2y = 4 + 18 -2y = 4 + 18 Combine like terms: 4 + 18 = 22 -2y = 22 Divide each side by '-2'. y = -11 Simplifying y = -11
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