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Simplifying 4(y + -3) + -6(y + 1) = 4(3y + 4) + -2 Reorder the terms: 4(-3 + y) + -6(y + 1) = 4(3y + 4) + -2 (-3 * 4 + y * 4) + -6(y + 1) = 4(3y + 4) + -2 (-12 + 4y) + -6(y + 1) = 4(3y + 4) + -2 Reorder the terms: -12 + 4y + -6(1 + y) = 4(3y + 4) + -2 -12 + 4y + (1 * -6 + y * -6) = 4(3y + 4) + -2 -12 + 4y + (-6 + -6y) = 4(3y + 4) + -2 Reorder the terms: -12 + -6 + 4y + -6y = 4(3y + 4) + -2 Combine like terms: -12 + -6 = -18 -18 + 4y + -6y = 4(3y + 4) + -2 Combine like terms: 4y + -6y = -2y -18 + -2y = 4(3y + 4) + -2 Reorder the terms: -18 + -2y = 4(4 + 3y) + -2 -18 + -2y = (4 * 4 + 3y * 4) + -2 -18 + -2y = (16 + 12y) + -2 Reorder the terms: -18 + -2y = 16 + -2 + 12y Combine like terms: 16 + -2 = 14 -18 + -2y = 14 + 12y Solving -18 + -2y = 14 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -18 + -2y + -12y = 14 + 12y + -12y Combine like terms: -2y + -12y = -14y -18 + -14y = 14 + 12y + -12y Combine like terms: 12y + -12y = 0 -18 + -14y = 14 + 0 -18 + -14y = 14 Add '18' to each side of the equation. -18 + 18 + -14y = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -14y = 14 + 18 -14y = 14 + 18 Combine like terms: 14 + 18 = 32 -14y = 32 Divide each side by '-14'. y = -2.285714286 Simplifying y = -2.285714286
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