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Simplifying 4(y + -2) + 3(2y + -1) = 6(2y + -3) Reorder the terms: 4(-2 + y) + 3(2y + -1) = 6(2y + -3) (-2 * 4 + y * 4) + 3(2y + -1) = 6(2y + -3) (-8 + 4y) + 3(2y + -1) = 6(2y + -3) Reorder the terms: -8 + 4y + 3(-1 + 2y) = 6(2y + -3) -8 + 4y + (-1 * 3 + 2y * 3) = 6(2y + -3) -8 + 4y + (-3 + 6y) = 6(2y + -3) Reorder the terms: -8 + -3 + 4y + 6y = 6(2y + -3) Combine like terms: -8 + -3 = -11 -11 + 4y + 6y = 6(2y + -3) Combine like terms: 4y + 6y = 10y -11 + 10y = 6(2y + -3) Reorder the terms: -11 + 10y = 6(-3 + 2y) -11 + 10y = (-3 * 6 + 2y * 6) -11 + 10y = (-18 + 12y) Solving -11 + 10y = -18 + 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. -11 + 10y + -12y = -18 + 12y + -12y Combine like terms: 10y + -12y = -2y -11 + -2y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 -11 + -2y = -18 + 0 -11 + -2y = -18 Add '11' to each side of the equation. -11 + 11 + -2y = -18 + 11 Combine like terms: -11 + 11 = 0 0 + -2y = -18 + 11 -2y = -18 + 11 Combine like terms: -18 + 11 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5
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