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Simplifying 4(y + -3) + -2 = 5(3y + 1) Reorder the terms: 4(-3 + y) + -2 = 5(3y + 1) (-3 * 4 + y * 4) + -2 = 5(3y + 1) (-12 + 4y) + -2 = 5(3y + 1) Reorder the terms: -12 + -2 + 4y = 5(3y + 1) Combine like terms: -12 + -2 = -14 -14 + 4y = 5(3y + 1) Reorder the terms: -14 + 4y = 5(1 + 3y) -14 + 4y = (1 * 5 + 3y * 5) -14 + 4y = (5 + 15y) Solving -14 + 4y = 5 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -14 + 4y + -15y = 5 + 15y + -15y Combine like terms: 4y + -15y = -11y -14 + -11y = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 -14 + -11y = 5 + 0 -14 + -11y = 5 Add '14' to each side of the equation. -14 + 14 + -11y = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -11y = 5 + 14 -11y = 5 + 14 Combine like terms: 5 + 14 = 19 -11y = 19 Divide each side by '-11'. y = -1.727272727 Simplifying y = -1.727272727
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